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10140404131143 = 321113307130119727
BaseRepresentation
bin1001001110001111111100…
…1011111010010101000111
31022220102011012101010021200
42103203333023322111013
52312120021424144033
633322234244513543
72064422444642436
oct223437713722507
938812135333250
1010140404131143
11325a580854940
1211793409ab8b3
1358730b677270
14270b262b911d
15128b96392013
hex938ff2fa547

10140404131143 has 96 divisors (see below), whose sum is σ = 17278156127232. Its totient is φ = 5649842016000.

The previous prime is 10140404131127. The next prime is 10140404131163. The reversal of 10140404131143 is 34113140404101.

10140404131143 is a `hidden beast` number, since 1 + 0 + 140 + 404 + 1 + 3 + 114 + 3 = 666.

It is not a de Polignac number, because 10140404131143 - 24 = 10140404131127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140404131163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 514026946 + ... + 514046672.

It is an arithmetic number, because the mean of its divisors is an integer number (179980792992).

Almost surely, 210140404131143 is an apocalyptic number.

10140404131143 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10140404131143 is a deficient number, since it is larger than the sum of its proper divisors (7137751996089).

10140404131143 is a wasteful number, since it uses less digits than its factorization.

10140404131143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21365 (or 21362 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10140404131143 its reverse (34113140404101), we get a palindrome (44253544535244).

The spelling of 10140404131143 in words is "ten trillion, one hundred forty billion, four hundred four million, one hundred thirty-one thousand, one hundred forty-three".

Divisors: 1 3 9 11 13 33 39 99 117 143 307 429 921 1287 1301 2763 3377 3903 3991 10131 11709 11973 14311 16913 19727 30393 35919 42933 43901 50739 59181 128799 131703 152217 177543 186043 216997 256451 395109 399407 558129 650991 769353 1198221 1674387 1952973 2308059 2820961 3594663 4393477 5192291 6056189 8462883 13180431 15576873 18168567 25388649 25664827 39541293 46730619 54505701 57115201 66618079 76994481 78730457 171345603 199854237 230983443 236191371 282313097 333642751 514036809 599562711 708574113 846939291 866035027 1000928253 2540817873 2598105081 3002784759 3670070261 7794315243 7879101889 11010210783 23637305667 33030632349 70911917001 86670120779 102428324557 260010362337 307284973671 780031087011 921854921013 1126711570127 3380134710381 10140404131143