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23045421440 = 275833531229
BaseRepresentation
bin10101011101100111…
…010011100110000000
32012111002000201002102
4111131213103212000
5334144111441230
614330435205532
71444041564416
oct253547234600
965432021072
1023045421440
1198565a3248
124571a468a8
132233603562
1411889532b6
158ed2d3045
hex55d9d3980

23045421440 has 128 divisors (see below), whose sum is σ = 55960178400. Its totient is φ = 9073917952.

The previous prime is 23045421407. The next prime is 23045421449. The reversal of 23045421440 is 4412454032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23045421449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18750746 + ... + 18751974.

Almost surely, 223045421440 is an apocalyptic number.

23045421440 is a gapful number since it is divisible by the number (20) 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 23045421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27980089200).

23045421440 is an abundant number, since it is smaller than the sum of its proper divisors (32914756960).

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

23045421440 is a wasteful number, since it uses less digits than its factorization.

23045421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 23045421440 its reverse (4412454032), we get a palindrome (27457875472).

The spelling of 23045421440 in words is "twenty-three billion, forty-five million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 320 332 353 415 640 664 706 830 1229 1328 1412 1660 1765 2458 2656 2824 3320 3530 4916 5312 5648 6145 6640 7060 9832 10624 11296 12290 13280 14120 19664 22592 24580 26560 28240 29299 39328 45184 49160 53120 56480 58598 78656 98320 102007 112960 117196 146495 157312 196640 204014 225920 234392 292990 393280 408028 433837 468784 510035 585980 786560 816056 867674 937568 1020070 1171960 1632112 1735348 1875136 2040140 2169185 2343920 3264224 3470696 3750272 4080280 4338370 4687840 6528448 6941392 8160560 8676740 9375680 13056896 13882784 16321120 17353480 18751360 27765568 32642240 34706960 36008471 55531136 65284480 69413920 72016942 138827840 144033884 180042355 277655680 288067768 360084710 576135536 720169420 1152271072 1440338840 2304542144 2880677680 4609084288 5761355360 11522710720 23045421440