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53431355313435 = 351131101139744071
BaseRepresentation
bin11000010011000011101001…
…11101000000110100011011
321000011222200000112212110210
430021201310331000310123
524000404403430012220
6305350005322142203
714153200536353211
oct1411416475006433
9230158600485423
1053431355313435
1116030124138240
125bab430951963
1323a772a989cc8
14d2a13cb0acb1
15629d138906e0
hex309874f40d1b

53431355313435 has 128 divisors (see below), whose sum is σ = 97923208642560. Its totient is φ = 24643598400000.

The previous prime is 53431355313433. The next prime is 53431355313487.

It is a happy number.

53431355313435 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53431355313435 - 21 = 53431355313433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53431355313433) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71437450 + ... + 72181520.

It is an arithmetic number, because the mean of its divisors is an integer number (765025067520).

Almost surely, 253431355313435 is an apocalyptic number.

53431355313435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53431355313435 is a deficient number, since it is larger than the sum of its proper divisors (44491853329125).

53431355313435 is a wasteful number, since it uses less digits than its factorization.

53431355313435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744361.

The product of its digits is 7290000, while the sum is 48.

The spelling of 53431355313435 in words is "fifty-three trillion, four hundred thirty-one billion, three hundred fifty-five million, three hundred thirteen thousand, four hundred thirty-five".

Divisors: 1 3 5 11 15 31 33 55 93 101 139 155 165 303 341 417 465 505 695 1023 1111 1515 1529 1705 2085 3131 3333 4309 4587 5115 5555 7645 9393 12927 14039 15655 16665 21545 22935 34441 42117 46965 47399 64635 70195 103323 142197 154429 172205 210585 236995 435209 463287 516615 710985 744071 772145 1305627 2176045 2232213 2316435 3720355 4787299 6528135 8184781 11161065 14361897 23066201 23936495 24554343 40923905 69198603 71809485 75151171 103425869 115331005 122771715 225453513 253728211 310277607 345993015 375755855 517129345 761184633 826662881 1127267565 1137684559 1268641055 1551388035 2329686301 2479988643 3206201939 3413053677 3805923165 4133314405 5688422795 6989058903 9618605817 10446012769 11648431505 12399943215 16031009695 17065268385 25626549311 31338038307 34945294515 35268221329 48093029085 52230063845 76879647933 105804663987 114906140459 128132746555 156690191535 176341106645 323826395839 344718421377 384398239665 529023319935 574530702295 971479187517 1619131979195 1723592106885 3562090354229 4857395937585 10686271062687 17810451771145 53431355313435