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141114322404 = 2232114344918457
BaseRepresentation
bin1000001101101100010…
…0011010110111100100
3111111020111111022201100
42003123010122313210
54303000231304104
6144454345400100
713123641643446
oct2033304326744
9444214438640
10141114322404
11549343a1050
1223422a99030
13103cb6b8a73
146b89618496
153a0d986139
hex20db11ade4

141114322404 has 144 divisors (see below), whose sum is σ = 399091492800. Its totient is φ = 41672171520.

The previous prime is 141114322373. The next prime is 141114322411. The reversal of 141114322404 is 404223411141.

141114322404 is a `hidden beast` number, since 1 + 411 + 1 + 4 + 3 + 2 + 240 + 4 = 666.

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, 7636344 + ... + 7654800.

It is an arithmetic number, because the mean of its divisors is an integer number (2771468700).

Almost surely, 2141114322404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141114322404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199545746400).

141114322404 is an abundant number, since it is smaller than the sum of its proper divisors (257977170396).

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

141114322404 is a wasteful number, since it uses less digits than its factorization.

141114322404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18970 (or 18965 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 141114322404 its reverse (404223411141), we get a palindrome (545337733545).

The spelling of 141114322404 in words is "one hundred forty-one billion, one hundred fourteen million, three hundred twenty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 449 473 516 774 898 946 1347 1419 1548 1796 1892 2694 2838 4041 4257 4939 5388 5676 8082 8514 9878 14817 16164 17028 18457 19307 19756 29634 36914 38614 44451 55371 57921 59268 73828 77228 88902 110742 115842 166113 173763 177804 203027 212377 221484 231684 332226 347526 406054 424754 609081 637131 664452 695052 793651 812108 849508 1218162 1274262 1587302 1827243 1911393 2380953 2436324 2548524 3174604 3654486 3822786 4761906 7142859 7308972 7645572 8287193 8730161 9523812 14285718 16574386 17460322 24861579 26190483 28571436 33148772 34920644 49723158 52380966 74584737 78571449 91159123 99446316 104761932 149169474 157142898 182318246 273477369 298338948 314285796 356349299 364636492 546954738 712698598 820432107 1069047897 1093909476 1425397196 1640864214 2138095794 3207143691 3281728428 3919842289 4276191588 6414287382 7839684578 11759526867 12828574764 15679369156 23519053734 35278580601 47038107468 70557161202 141114322404