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23431334432 = 2511219734363
BaseRepresentation
bin10101110100100111…
…011100101000100000
32020110222012010012012
4111310213130220200
5340441410200212
614433022452052
71456436025242
oct256447345040
966428163165
1023431334432
119a34417400
12465b134028
132295551c3c
1411c3ccc092
15922112922
hex5749dca20

23431334432 has 144 divisors (see below), whose sum is σ = 54117614880. Its totient is φ = 9949547520.

The previous prime is 23431334371. The next prime is 23431334449. The reversal of 23431334432 is 23443313432.

It is a super-3 number, since 3×234313344323 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5368283 + ... + 5372645.

It is an arithmetic number, because the mean of its divisors is an integer number (375816770).

Almost surely, 223431334432 is an apocalyptic number.

23431334432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23431334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27058807440).

23431334432 is an abundant number, since it is smaller than the sum of its proper divisors (30686280448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23431334432 is a wasteful number, since it uses less digits than its factorization.

23431334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4487 (or 4468 counting only the distinct ones).

The product of its digits is 62208, while the sum is 32.

Adding to 23431334432 its reverse (23443313432), we get a palindrome (46874647864).

The spelling of 23431334432 in words is "twenty-three billion, four hundred thirty-one million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 73 76 88 121 146 152 176 209 242 292 304 352 418 484 584 608 803 836 968 1168 1387 1606 1672 1936 2299 2336 2774 3212 3344 3872 4363 4598 5548 6424 6688 8726 8833 9196 11096 12848 15257 17452 17666 18392 22192 25696 30514 34904 35332 36784 44384 47993 61028 69808 70664 73568 82897 95986 122056 139616 141328 165794 167827 191972 244112 282656 318499 331588 335654 383944 488224 527923 636998 663176 671308 767888 911867 1055846 1273996 1326352 1342616 1535776 1823734 2111692 2547992 2652704 2685232 3503489 3647468 4223384 5095984 5370464 6051481 7006978 7294936 8446768 10030537 10191968 12102962 14013956 14589872 16893536 20061074 24205924 28027912 29179744 38538379 40122148 48411848 56055824 66566291 77076758 80244296 96823696 112111648 133132582 154153516 160488592 193647392 266265164 308307032 320977184 532530328 616614064 732229201 1065060656 1233228128 1464458402 2130121312 2928916804 5857833608 11715667216 23431334432