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10141455501342 = 23211971396713297
BaseRepresentation
bin1001001110010011110111…
…0110100100100000011110
31022220111212110201021001200
42103210331312210200132
52312124200102020332
633322530443220330
72064460502305614
oct223447566444036
938814773637050
1010141455501342
11325aa70274930
121179594b176a6
1358744842c3c9
14270bc5b996b4
15128c0881e17c
hex9393dda481e

10141455501342 has 96 divisors (see below), whose sum is σ = 24003253407744. Its totient is φ = 3068998675200.

The previous prime is 10141455501259. The next prime is 10141455501367. The reversal of 10141455501342 is 24310555414101.

10141455501342 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 145 + 5 + 501 + 3 + 4 + 2 = 666.

10141455501342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10141455501297 and 10141455501306.

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, 762680838 + ... + 762694134.

It is an arithmetic number, because the mean of its divisors is an integer number (250033889664).

Almost surely, 210141455501342 is an apocalyptic number.

10141455501342 is an abundant number, since it is smaller than the sum of its proper divisors (13861797906402).

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

10141455501342 is a wasteful number, since it uses less digits than its factorization.

10141455501342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18254 (or 18251 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 10141455501342 in words is "ten trillion, one hundred forty-one billion, four hundred fifty-five million, five hundred one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 971 1942 2913 3967 5826 7934 8739 10681 11901 13297 17478 21362 23802 26594 32043 35703 39891 43637 64086 71406 79782 87274 96129 119673 130911 146267 192258 239346 261822 292534 392733 438801 785466 877602 1316403 2632806 3851957 7703914 11555871 12911387 23111742 25822774 34667613 38734161 42371527 52749199 69335226 77468322 84743054 105498398 116202483 127114581 142025257 158247597 232404966 254229162 284050514 316495194 381343743 426075771 474742791 580241189 762687486 852151542 949485582 1160482378 1278227313 1740723567 2556454626 3481447134 5222170701 10444341402 51219472229 102438944458 153658416687 307316833374 460975250061 563414194519 921950500122 1126828389038 1690242583557 3380485167114 5070727750671 10141455501342