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10342062432 = 25321327110193
BaseRepresentation
bin10011010000110111…
…10101100101100000
3222200202102012120100
421220123311211200
5132140031444212
64430122142400
7514200036342
oct115033654540
928622365510
1010342062432
114427908639
122007651a00
13c8a824790
14701765292
15407e29bdc
hex2686f5960

10342062432 has 144 divisors (see below), whose sum is σ = 31792557888. Its totient is φ = 3170119680.

The previous prime is 10342062403. The next prime is 10342062439. The reversal of 10342062432 is 23426024301.

10342062432 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 2 + 0 + 624 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 10342062396 and 10342062405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10342062439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1009528 + ... + 1019720.

It is an arithmetic number, because the mean of its divisors is an integer number (220781652).

Almost surely, 210342062432 is an apocalyptic number.

10342062432 is a gapful number since it is divisible by the number (12) 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 10342062432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15896278944).

10342062432 is an abundant number, since it is smaller than the sum of its proper divisors (21450495456).

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

10342062432 is a wasteful number, since it uses less digits than its factorization.

10342062432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10493 (or 10482 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10342062432 its reverse (23426024301), we get a palindrome (33768086733).

The spelling of 10342062432 in words is "ten billion, three hundred forty-two million, sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 271 288 312 416 468 542 624 813 936 1084 1248 1626 1872 2168 2439 3252 3523 3744 4336 4878 6504 7046 8672 9756 10193 10569 13008 14092 19512 20386 21138 26016 28184 30579 31707 39024 40772 42276 56368 61158 63414 78048 81544 84552 91737 112736 122316 126828 132509 163088 169104 183474 244632 253656 265018 326176 338208 366948 397527 489264 507312 530036 733896 795054 978528 1014624 1060072 1192581 1467792 1590108 2120144 2385162 2762303 2935584 3180216 4240288 4770324 5524606 6360432 8286909 9540648 11049212 12720864 16573818 19081296 22098424 24860727 33147636 35909939 38162592 44196848 49721454 66295272 71819878 88393696 99442908 107729817 132590544 143639756 198885816 215459634 265181088 287279512 323189451 397771632 430919268 574559024 646378902 795543264 861838536 1149118048 1292757804 1723677072 2585515608 3447354144 5171031216 10342062432