Search a number
-
+
10341431131040 = 2552318919148537
BaseRepresentation
bin1001011001111100110101…
…0101000011101110100000
31100121122001010010210210022
42112133031111003232200
52323413222332143130
633554442103053012
72115100206152312
oct226371525035640
940548033123708
1010341431131040
11332785a300289
1211b02a4441168
135a0267697b89
1427a7569357b2
1512e00ea7c7e5
hex967cd543ba0

10341431131040 has 96 divisors (see below), whose sum is σ = 25495395045120. Its totient is φ = 3956485699584.

The previous prime is 10341431130997. The next prime is 10341431131051. The reversal of 10341431131040 is 4013113414301.

10341431131040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 69547652 + ... + 69696188.

It is an arithmetic number, because the mean of its divisors is an integer number (265577031720).

Almost surely, 210341431131040 is an apocalyptic number.

10341431131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10341431131040 is an abundant number, since it is smaller than the sum of its proper divisors (15153963914080).

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

10341431131040 is a wasteful number, since it uses less digits than its factorization.

10341431131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167494 (or 167486 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 10341431131040 its reverse (4013113414301), we get a palindrome (14354544545341).

The spelling of 10341431131040 in words is "ten trillion, three hundred forty-one billion, four hundred thirty-one million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 18919 37838 75676 94595 148537 151352 189190 297074 302704 378380 435137 594148 605408 742685 756760 870274 1188296 1485370 1513520 1740548 2175685 2376592 2970740 3027040 3416351 3481096 4351370 4753184 5941480 6832702 6962192 8702740 11882960 13665404 13924384 17081755 17405480 23765920 27330808 34163510 34810960 54661616 68327020 69621920 109323232 136654040 273308080 546616160 2810171503 5620343006 11240686012 14050857515 22481372024 28101715030 44962744048 56203430060 64633944569 89925488096 112406860120 129267889138 224813720240 258535778276 323169722845 449627440480 517071556552 646339445690 1034143113104 1292678891380 2068286226208 2585357782760 5170715565520 10341431131040