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10142412256024 = 2329311483195087
BaseRepresentation
bin1001001110010111011011…
…1000010011001100011000
31022220121100011000102202021
42103211312320103030120
52312133130014143044
633323205421544224
72064523300504066
oct223456670231430
938817304012667
1010142412256024
113260411340884
121179801415074
1358756b707839
14270c76c8b036
15128c6280be84
hex93976e13318

10142412256024 has 64 divisors (see below), whose sum is σ = 20308971110400. Its totient is φ = 4738021276800.

The previous prime is 10142412256013. The next prime is 10142412256061. The reversal of 10142412256024 is 42065221424101.

It is a super-2 number, since 2×101424122560242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106617009 + ... + 106712095.

It is an arithmetic number, because the mean of its divisors is an integer number (317327673600).

Almost surely, 210142412256024 is an apocalyptic number.

It is an amenable number.

10142412256024 is an abundant number, since it is smaller than the sum of its proper divisors (10166558854376).

10142412256024 is a wasteful number, since it uses less digits than its factorization.

10142412256024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109984 (or 109980 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 10142412256024 in words is "ten trillion, one hundred forty-two billion, four hundred twelve million, two hundred fifty-six thousand, twenty-four".

Divisors: 1 2 4 8 29 31 58 62 116 124 232 248 899 1798 3596 7192 14831 29662 59324 95087 118648 190174 380348 430099 459761 760696 860198 919522 1720396 1839044 2757523 2947697 3440792 3678088 5515046 5895394 11030092 11790788 13333069 22060184 23581576 26666138 53332276 85483213 106664552 170966426 341932852 683865704 1410235297 2820470594 5640941188 11281882376 40896823613 43717294207 81793647226 87434588414 163587294452 174869176828 327174588904 349738353656 1267801532003 2535603064006 5071206128012 10142412256024