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10423414241232 = 2433123942416911
BaseRepresentation
bin1001011110101110001111…
…1001110011011111010000
31100220110122122211022112220
42113223203321303133100
52331234123021204412
634100241141421040
72124031631122266
oct227534371633720
940813578738486
1010423414241232
1133595aa668403
12120416440a780
135a7c01612475
142806d2c10436
1513120c1c468c
hex97ae3e737d0

10423414241232 has 160 divisors (see below), whose sum is σ = 27922692833280. Its totient is φ = 3347049216000.

The previous prime is 10423414241221. The next prime is 10423414241291. The reversal of 10423414241232 is 23214241432401.

It is a junction number, because it is equal to n+sod(n) for n = 10423414241193 and 10423414241202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1508231857 + ... + 1508238767.

It is an arithmetic number, because the mean of its divisors is an integer number (174516830208).

Almost surely, 210423414241232 is an apocalyptic number.

10423414241232 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 10423414241232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13961346416640).

10423414241232 is an abundant number, since it is smaller than the sum of its proper divisors (17499278592048).

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

10423414241232 is a wasteful number, since it uses less digits than its factorization.

10423414241232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11433 (or 11427 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 10423414241232 its reverse (23214241432401), we get a palindrome (33637655673633).

The spelling of 10423414241232 in words is "ten trillion, four hundred twenty-three billion, four hundred fourteen million, two hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 239 248 372 478 496 717 744 956 1434 1488 1912 2868 3824 4241 5736 6911 7409 8482 11472 12723 13822 14818 16964 20733 22227 25446 27644 29636 33928 41466 44454 50892 55288 59272 67856 82932 88908 101784 110576 118544 131471 165864 177816 203568 214241 262942 331728 355632 394413 428482 525884 642723 788826 856964 1013599 1051768 1285446 1577652 1651729 1713928 2027198 2103536 2570892 3040797 3155304 3303458 3427856 4054396 4955187 5141784 6081594 6310608 6606916 8108792 9910374 10283568 12163188 13213832 16217584 19820748 24326376 26427664 29309551 31421569 39641496 48652752 51203599 58619102 62843138 79282992 87928653 94264707 102407198 117238204 125686276 153610797 175857306 188529414 204814396 234476408 251372552 307221594 351714612 377058828 409628792 468952816 502745104 614443188 703429224 754117656 819257584 908596081 1228886376 1406858448 1508235312 1817192162 2457772752 2725788243 3634384324 5451576486 7004982689 7268768648 10903152972 14009965378 14537537296 21014948067 21806305944 28019930756 42029896134 43612611888 56039861512 84059792268 112079723024 168119584536 217154463359 336239169072 434308926718 651463390077 868617853436 1302926780154 1737235706872 2605853560308 3474471413744 5211707120616 10423414241232