Search a number
-
+
114223125001320 = 23335145972489481
BaseRepresentation
bin11001111110001010100100…
…110010100111010001101000
3112222102121211222021221201000
4121332022210302213101220
5104432412430000020240
61042533213524555000
733026230342660626
oct3176124462472150
9488377758257630
10114223125001320
11334388342aa7a5
1210989259552a60
134b9726b33369a
14202c6006ac516
15d31313de4430
hex67e2a4ca7468

114223125001320 has 128 divisors (see below), whose sum is σ = 381004717392000. Its totient is φ = 30438622609920.

The previous prime is 114223125001319. The next prime is 114223125001339. The reversal of 114223125001320 is 23100521322411.

It is a happy number.

114223125001320 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 23 + 1 + 2 + 500 + 132 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34669021 + ... + 37820460.

It is an arithmetic number, because the mean of its divisors is an integer number (2976599354625).

Almost surely, 2114223125001320 is an apocalyptic number.

114223125001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114223125001320 is an abundant number, since it is smaller than the sum of its proper divisors (266781592390680).

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

114223125001320 is a wasteful number, since it uses less digits than its factorization.

114223125001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72490960 (or 72490950 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 114223125001320 its reverse (23100521322411), we get a palindrome (137323646323731).

The spelling of 114223125001320 in words is "one hundred fourteen trillion, two hundred twenty-three billion, one hundred twenty-five million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1459 2918 4377 5836 7295 8754 11672 13131 14590 17508 21885 26262 29180 35016 39393 43770 52524 58360 65655 78786 87540 105048 131310 157572 175080 196965 262620 315144 393930 525240 787860 1575720 72489481 144978962 217468443 289957924 362447405 434936886 579915848 652405329 724894810 869873772 1087342215 1304810658 1449789620 1739747544 1957215987 2174684430 2609621316 2899579240 3262026645 3914431974 4349368860 5219242632 6524053290 7828863948 8698737720 9786079935 13048106580 15657727896 19572159870 26096213160 39144319740 78288639480 105762152779 211524305558 317286458337 423048611116 528810763895 634572916674 846097222232 951859375011 1057621527790 1269145833348 1586432291685 1903718750022 2115243055580 2538291666696 2855578125033 3172864583370 3807437500044 4230486111160 4759296875055 5711156250066 6345729166740 7614875000088 9518593750110 11422312500132 12691458333480 14277890625165 19037187500220 22844625000264 28555781250330 38074375000440 57111562500660 114223125001320