Search a number
-
+
35131023423405 = 3257132857770039
BaseRepresentation
bin1111111110011100101000…
…01010111111011110101101
311121101111022102111102111200
413333032110022333132231
514101041313444022110
6202414545214240113
710254063340024410
oct777162412773655
9147344272442450
1035131023423405
1110214a8a949908
123b347647b6039
13167aac2426900
148964ca0c5b77
1540dc8a11a6c0
hex1ff3942bf7ad

35131023423405 has 144 divisors (see below), whose sum is σ = 75446005789440. Its totient is φ = 14807202388992.

The previous prime is 35131023423343. The next prime is 35131023423413. The reversal of 35131023423405 is 50432432013153.

35131023423405 is a `hidden beast` number, since 3 + 5 + 1 + 3 + 10 + 234 + 2 + 3 + 405 = 666.

It is not a de Polignac number, because 35131023423405 - 212 = 35131023419309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 35131023423405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45237376 + ... + 46007414.

It is an arithmetic number, because the mean of its divisors is an integer number (523930595760).

Almost surely, 235131023423405 is an apocalyptic number.

35131023423405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

35131023423405 is an abundant number, since it is smaller than the sum of its proper divisors (40314982366035).

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

35131023423405 is a wasteful number, since it uses less digits than its factorization.

35131023423405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770940 (or 770924 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 35131023423405 its reverse (50432432013153), we get a palindrome (85563455436558).

The spelling of 35131023423405 in words is "thirty-five trillion, one hundred thirty-one billion, twenty-three million, four hundred twenty-three thousand, four hundred five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 169 195 273 315 455 507 585 819 845 857 1183 1365 1521 2535 2571 3549 4095 4285 5915 5999 7605 7713 10647 11141 12855 17745 17997 29995 33423 38565 53235 53991 55705 77987 89985 100269 144833 167115 233961 269955 389935 434499 501345 701883 724165 770039 1013831 1169805 1303497 2172495 2310117 3041493 3509415 3850195 5069155 5390273 6517485 6930351 9124479 10010507 11550585 15207465 16170819 26951365 30031521 34651755 45622395 48512457 50052535 70073549 80854095 90094563 130136591 150157605 210220647 242562285 350367745 390409773 450472815 630661941 650682955 659923423 910956137 1051103235 1171229319 1952048865 1979770269 2732868411 3153309705 3299617115 4554780685 4619463961 5856146595 5939310807 8198605233 8579004499 9898851345 13664342055 13858391883 23097319805 25737013497 29696554035 40993026165 41575175649 42895022495 60053031493 69291959415 77211040491 111527058487 128685067485 180159094479 207875878245 300265157465 334581175461 386055202455 540477283437 557635292435 780689409409 900795472395 1003743526383 1672905877305 2342068228227 2702386417185 3903447047045 5018717631915 7026204684681 11710341141135 35131023423405