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1042102431144 = 2332194716207889
BaseRepresentation
bin11110010101000100010…
…01010010110110101000
310200121211220120112022200
433022202021102312220
5114033211210244034
62114422451420200
7135201161340465
oct17124211226650
93617756515280
101042102431144
11371a53722635
12149b71bb4660
1377367aaa6a8
143861bd3466c
151c192ae5a99
hexf2a2252da8

1042102431144 has 96 divisors (see below), whose sum is σ = 3034117008000. Its totient is φ = 322083150336.

The previous prime is 1042102431133. The next prime is 1042102431173. The reversal of 1042102431144 is 4411342012401.

1042102431144 is a `hidden beast` number, since 1 + 0 + 4 + 210 + 2 + 431 + 14 + 4 = 666.

It is a super-2 number, since 2×10421024311442 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8039649 + ... + 8168240.

It is an arithmetic number, because the mean of its divisors is an integer number (31605385500).

Almost surely, 21042102431144 is an apocalyptic number.

It is an amenable number.

1042102431144 is an abundant number, since it is smaller than the sum of its proper divisors (1992014576856).

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

1042102431144 is a wasteful number, since it uses less digits than its factorization.

1042102431144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16207967 (or 16207960 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1042102431144 its reverse (4411342012401), we get a palindrome (5453444443545).

The spelling of 1042102431144 in words is "one trillion, forty-two billion, one hundred two million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 47 57 72 76 94 114 141 152 171 188 228 282 342 376 423 456 564 684 846 893 1128 1368 1692 1786 2679 3384 3572 5358 7144 8037 10716 16074 21432 32148 64296 16207889 32415778 48623667 64831556 97247334 129663112 145871001 194494668 291742002 307949891 388989336 583484004 615899782 761770783 923849673 1166968008 1231799564 1523541566 1847699346 2285312349 2463599128 2771549019 3047083132 3695398692 4570624698 5543098038 6094166264 6855937047 7390797384 9141249396 11086196076 13711874094 14473644877 18282498792 22172392152 27423748188 28947289754 43420934631 54847496376 57894579508 86841869262 115789159016 130262803893 173683738524 260525607786 347367477048 521051215572 1042102431144