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23424340404 = 2232931289787
BaseRepresentation
bin10101110100001100…
…110001000110110100
32020110111000210012010
4111310030301012310
5340433112343104
614432212524220
71456322415423
oct256414610664
966414023163
1023424340404
119a3047a713
124658920670
132293c7366a
1411c2dcb2ba
159216d0489
hex5743311b4

23424340404 has 144 divisors (see below), whose sum is σ = 59155790400. Its totient is φ = 7204538880.

The previous prime is 23424340369. The next prime is 23424340417. The reversal of 23424340404 is 40404342432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29763699 + ... + 29764485.

It is an arithmetic number, because the mean of its divisors is an integer number (410804100).

Almost surely, 223424340404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23424340404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29577895200).

23424340404 is an abundant number, since it is smaller than the sum of its proper divisors (35731449996).

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

23424340404 is a wasteful number, since it uses less digits than its factorization.

23424340404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 23424340404 its reverse (40404342432), we get a palindrome (63828682836).

The spelling of 23424340404 in words is "twenty-three billion, four hundred twenty-four million, three hundred forty thousand, four hundred four".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 89 93 116 124 174 178 186 267 348 356 372 534 787 899 961 1068 1574 1798 1922 2361 2581 2697 2759 2883 3148 3596 3844 4722 5162 5394 5518 5766 7743 8277 9444 10324 10788 11036 11532 15486 16554 22823 24397 27869 30972 33108 45646 48794 55738 68469 70043 73191 80011 83607 85529 91292 97588 111476 136938 140086 146382 160022 167214 171058 210129 240033 256587 273876 280172 292764 320044 334428 342116 420258 480066 513174 707513 756307 840516 960132 1026348 1415026 1512614 2031247 2122539 2171333 2268921 2480341 2830052 3025228 4062494 4245078 4342666 4537842 4960682 6093741 6513999 7441023 8124988 8490156 8685332 9075684 9921364 12187482 13027998 14882046 21932903 24374964 26055996 29764092 43865806 62968657 65798709 67311323 87731612 125937314 131597418 134622646 188905971 201933969 251874628 263194836 269245292 377811942 403867938 755623884 807735876 1952028367 3904056734 5856085101 7808113468 11712170202 23424340404