Search a number
-
+
31243001001444 = 223216717952355511
BaseRepresentation
bin1110001101010010100111…
…11110011111010111100100
311002121210122110101002000200
413012221103332133113210
513043341131224021234
6150240500404310500
76403142455516341
oct706512376372744
9132553573332020
1031243001001444
119a5609a61aa71
1236071299a2430
1314582827517bb
147a02528697c8
15392a7eb8bd99
hex1c6a53f9f5e4

31243001001444 has 144 divisors (see below), whose sum is σ = 80046314449920. Its totient is φ = 10274272182720.

The previous prime is 31243001001437. The next prime is 31243001001529. The reversal of 31243001001444 is 44410010034213.

31243001001444 is a `hidden beast` number, since 312 + 4 + 300 + 1 + 0 + 0 + 1 + 4 + 44 = 666.

It is a super-2 number, since 2×312430010014442 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562797649 + ... + 562853159.

It is an arithmetic number, because the mean of its divisors is an integer number (555877183680).

Almost surely, 231243001001444 is an apocalyptic number.

It is an amenable number.

31243001001444 is an abundant number, since it is smaller than the sum of its proper divisors (48803313448476).

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

31243001001444 is a wasteful number, since it uses less digits than its factorization.

31243001001444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56390 (or 56385 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 31243001001444 its reverse (44410010034213), we get a palindrome (75653011035657).

The spelling of 31243001001444 in words is "thirty-one trillion, two hundred forty-three billion, one million, one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 167 179 334 358 501 523 537 668 716 1002 1046 1074 1503 1569 1611 2004 2092 2148 3006 3138 3222 4707 6012 6276 6444 9414 18828 29893 55511 59786 87341 89679 93617 111022 119572 166533 174682 179358 187234 222044 262023 269037 280851 333066 349364 358716 374468 499599 524046 538074 561702 666132 786069 842553 999198 1048092 1076148 1123404 1572138 1685106 1998396 3144276 3370212 9270337 9936469 15634039 18540674 19872938 27811011 29032253 29809407 31268078 37081348 39745876 46902117 55622022 58064506 59618814 62536156 83433033 87096759 89428221 93804234 111244044 116129012 119237628 140706351 166866066 174193518 178856442 187608468 261290277 281412702 333732132 348387036 357712884 522580554 562825404 1045161108 1659390323 3318780646 4848386251 4978170969 5196773287 6637561292 9696772502 9956341938 10393546574 14545158753 14934512907 15590319861 19393545004 19912683876 20787093148 29090317506 29869025814 31180639722 43635476259 46770959583 58180635012 59738051628 62361279444 87270952518 93541919166 174541905036 187083838332 867861138929 1735722277858 2603583416787 3471444555716 5207166833574 7810750250361 10414333667148 15621500500722 31243001001444