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4142505152025 = 325241261179549
BaseRepresentation
bin111100010010000000100…
…011000100111000011001
3112200000112022021111012200
4330102000203010320121
51020332322304331100
612451012434000413
7605200065546462
oct74220043047031
915600468244180
104142505152025
111357910188589
1256aa18716109
132408376a1bb6
141046d955dd69
1572b51ac3e00
hex3c4808c4e19

4142505152025 has 108 divisors (see below), whose sum is σ = 7729785144900. Its totient is φ = 2120102784000.

The previous prime is 4142505152017. The next prime is 4142505152053. The reversal of 4142505152025 is 5202515052414.

4142505152025 is a `hidden beast` number, since 4 + 14 + 2 + 50 + 51 + 520 + 25 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 4112504140761 + 30001011264 = 2027931^2 + 173208^2 .

It is not a de Polignac number, because 4142505152025 - 23 = 4142505152017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 22981951 + ... + 23161499.

It is an arithmetic number, because the mean of its divisors is an integer number (71572084675).

Almost surely, 24142505152025 is an apocalyptic number.

4142505152025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4142505152025 is a deficient number, since it is larger than the sum of its proper divisors (3587279992875).

4142505152025 is a wasteful number, since it uses less digits than its factorization.

4142505152025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179708 (or 179659 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 4142505152025 in words is "four trillion, one hundred forty-two billion, five hundred five million, one hundred fifty-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 41 45 61 75 123 183 205 225 305 369 549 615 915 1025 1525 1681 1845 2501 2745 3075 4575 5043 7503 8405 9225 12505 13725 15129 22509 25215 37515 42025 62525 75645 102541 112545 126075 179549 187575 307623 378225 512705 538647 562725 897745 922869 1538115 1615941 2563525 2693235 4488725 4614345 7361509 7690575 8079705 10952489 13466175 22084527 23071725 32857467 36807545 40398525 54762445 66253581 98572401 110422635 164287335 184037725 273812225 301821869 331267905 449052049 492862005 552113175 821436675 905465607 1347156147 1509109345 1656339525 2245260245 2464310025 2716396821 4041468441 4527328035 6735780735 7545546725 11226301225 13581984105 18411134009 20207342205 22636640175 33678903675 55233402027 67909920525 92055670045 101036711025 165700206081 276167010135 460278350225 828501030405 1380835050675 4142505152025