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4294431434601 = 327211289712
BaseRepresentation
bin111110011111100000000…
…011110110011101101001
3120012112200022101022000100
4332133200003312131221
51030324443421401401
613044500133300013
7622156004624100
oct76374003663551
916175608338010
104294431434601
111406292653300
12594358494609
13251c6a057b19
1410bbcca9b037
1576a94853b86
hex3e7e00f6769

4294431434601 has 81 divisors (see below), whose sum is σ = 7932315434589. Its totient is φ = 2230624796400.

The previous prime is 4294431434591. The next prime is 4294431434609. The reversal of 4294431434601 is 1064341344924.

The square root of 4294431434601 is 2072301.

It is a perfect power (a square), and thus also a powerful number.

4294431434601 is a `hidden beast` number, since 4 + 2 + 9 + 4 + 4 + 3 + 1 + 4 + 34 + 601 = 666.

It is not a de Polignac number, because 4294431434601 - 27 = 4294431434473 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4294431434609) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 478697046 + ... + 478706016.

Almost surely, 24294431434601 is an apocalyptic number.

4294431434601 is the 2072301-st square number.

4294431434601 is the 1036151-st centered octagonal number.

It is an amenable number.

4294431434601 is a deficient number, since it is larger than the sum of its proper divisors (3637883999988).

4294431434601 is an frugal number, since it uses more digits than its factorization.

4294431434601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17984 (or 8992 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 4294431434601 in words is "four trillion, two hundred ninety-four billion, four hundred thirty-one million, four hundred thirty-four thousand, six hundred one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 539 693 847 1089 1617 2541 4851 5929 7623 8971 17787 26913 53361 62797 80739 98681 188391 296043 439579 565173 690767 888129 1085491 1318737 2072301 3256473 3956211 4835369 6216903 7598437 9769419 14506107 22795311 43518321 53189059 68385933 80478841 159567177 241436523 478701531 563351887 724309569 885267251 1690055661 2655801753 3943463209 5070166983 6196870757 7967405259 9737939761 11830389627 18590612271 29213819283 35491168881 43378095299 55771836813 68165578327 87641457849 130134285897 204496734981 390402857691 477159048289 613490204943 1431477144867 4294431434601