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102440141144 = 23111928338851
BaseRepresentation
bin101111101100111101…
…0001000000101011000
3100210102020012100121122
41133121322020011120
53134244134004034
6115021011424412
710254363555425
oct1373172100530
9323366170548
10102440141144
113a498875280
1217a2abb5108
139877211243
144d5b16cd4c
1529e858e62e
hex17d9e88158

102440141144 has 96 divisors (see below), whose sum is σ = 223815493440. Its totient is φ = 43580376000.

The previous prime is 102440141143. The next prime is 102440141149. The reversal of 102440141144 is 441141044201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102440141143) 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, 2617319 + ... + 2656169.

It is an arithmetic number, because the mean of its divisors is an integer number (2331411390).

Almost surely, 2102440141144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102440141144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111907746720).

102440141144 is an abundant number, since it is smaller than the sum of its proper divisors (121375352296).

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

102440141144 is a wasteful number, since it uses less digits than its factorization.

102440141144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38989 (or 38966 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 102440141144 its reverse (441141044201), we get a palindrome (543581185345).

The spelling of 102440141144 in words is "one hundred two billion, four hundred forty million, one hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 83 88 152 166 209 332 361 418 664 722 836 913 1444 1577 1672 1826 2888 3154 3652 3971 6308 7304 7942 12616 15884 17347 29963 31768 34694 38851 59926 69388 77702 119852 138776 155404 239704 310808 329593 427361 659186 738169 854722 1318372 1476338 1709444 2636744 2952676 3224633 3418888 5905352 6449266 8119859 12898532 14025211 16239718 25797064 28050422 32479436 35470963 56100844 61268027 64958872 70941926 112201688 122536054 141883852 154277321 245072108 283767704 308554642 490144216 617109284 673948297 1164092513 1234218568 1347896594 2328185026 2695793188 4656370052 5391586376 9312740104 12805017643 25610035286 51220070572 102440141144