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71001110000444 = 22132364791754987
BaseRepresentation
bin10000001001001100111011…
…111100001011001100111100
3100022101122021102201001122012
4100021030323330023030330
533301240233130003234
6411001243141110352
720645442460156001
oct2011147374131474
9308348242631565
1071001110000444
1120694446666858
127b685a80b83b8
1330804b6c45030
1413766874918a8
15831d7d91b0ce
hex40933bf0b33c

71001110000444 has 48 divisors (see below), whose sum is σ = 139843410190848. Its totient is φ = 31296524664768.

The previous prime is 71001110000413. The next prime is 71001110000461. The reversal of 71001110000444 is 44400001110017.

71001110000444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45103682 + ... + 46651305.

It is an arithmetic number, because the mean of its divisors is an integer number (2913404378976).

Almost surely, 271001110000444 is an apocalyptic number.

It is an amenable number.

71001110000444 is a deficient number, since it is larger than the sum of its proper divisors (68842300190404).

71001110000444 is a wasteful number, since it uses less digits than its factorization.

71001110000444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91755674 (or 91755672 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The spelling of 71001110000444 in words is "seventy-one trillion, one billion, one hundred ten million, four hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 13 23 26 46 52 92 299 598 647 1196 1294 2588 8411 14881 16822 29762 33644 59524 193453 386906 773812 91754987 183509974 367019948 1192814831 2110364701 2385629662 4220729402 4771259324 8441458804 27434741113 54869482226 59365476589 109738964452 118730953178 237461906356 771751195657 1365405961547 1543502391314 2730811923094 3087004782628 5461623846188 17750277500111 35500555000222 71001110000444