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31445004254034 = 2376762691782499
BaseRepresentation
bin1110010011001010111000…
…10011101111101101010010
311010100010001102010112110110
413021211130103233231102
513110143332042112114
6150513345135142150
76423553343033040
oct711453423575522
9133303042115413
1031445004254034
11a02382a14a518
12363a304374956
131471335ab6627
147a9d36a11390
15397e53e17759
hex1c995c4efb52

31445004254034 has 64 divisors (see below), whose sum is σ = 72958723200000. Its totient is φ = 8848776391488.

The previous prime is 31445004254009. The next prime is 31445004254137. The reversal of 31445004254034 is 43045240054413.

It is a junction number, because it is equal to n+sod(n) for n = 31445004253983 and 31445004254001.

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, 16749717 + ... + 18532215.

It is an arithmetic number, because the mean of its divisors is an integer number (1139980050000).

Almost surely, 231445004254034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31445004254034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36479361600000).

31445004254034 is an abundant number, since it is smaller than the sum of its proper divisors (41513718945966).

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

31445004254034 is a wasteful number, since it uses less digits than its factorization.

31445004254034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788847.

The product of its (nonzero) digits is 460800, while the sum is 39.

The spelling of 31445004254034 in words is "thirty-one trillion, four hundred forty-five billion, four million, two hundred fifty-four thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 42 67 134 201 402 469 938 1407 2814 6269 12538 18807 37614 43883 87766 131649 263298 420023 840046 1260069 1782499 2520138 2940161 3564998 5347497 5880322 8820483 10694994 12477493 17640966 24954986 37432479 74864958 119427433 238854866 358282299 716564598 835992031 1671984062 2507976093 5015952186 11174486231 22348972462 33523458693 67046917386 78221403617 156442807234 234664210851 469328421702 748690577477 1497381154954 2246071732431 4492143464862 5240834042339 10481668084678 15722502127017 31445004254034