Search a number
-
+
133251402024 = 233313450710529
BaseRepresentation
bin111110000011001100…
…1110000100100101000
3110201221112000120201000
41330012121300210220
54140344324331044
6141114223555000
712425044141356
oct1740631604450
9421845016630
10133251402024
1151569a40644
12219a975ba60
13c74769c960
1466412347d6
1536ed516d69
hex1f06670928

133251402024 has 128 divisors (see below), whose sum is σ = 398741616000. Its totient is φ = 40987441152.

The previous prime is 133251402019. The next prime is 133251402047. The reversal of 133251402024 is 420204152331.

133251402024 is a `hidden beast` number, since 1 + 3 + 3 + 251 + 402 + 0 + 2 + 4 = 666.

It is a super-2 number, since 2×1332514020242 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12650392 + ... + 12660920.

It is an arithmetic number, because the mean of its divisors is an integer number (3115168875).

Almost surely, 2133251402024 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 133251402024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199370808000).

133251402024 is an abundant number, since it is smaller than the sum of its proper divisors (265490213976).

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

133251402024 is a wasteful number, since it uses less digits than its factorization.

133251402024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15064 (or 15054 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 133251402024 its reverse (420204152331), we get a palindrome (553455554355).

The spelling of 133251402024 in words is "one hundred thirty-three billion, two hundred fifty-one million, four hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 4507 9014 10529 13521 18028 21058 27042 31587 36056 40563 42116 54084 58591 63174 81126 84232 94761 108168 117182 121689 126348 136877 162252 175773 189522 234364 243378 252696 273754 284283 324504 351546 379044 410631 468728 486756 527319 547508 568566 703092 758088 821262 973512 1054638 1095016 1137132 1231893 1406184 1581957 1642524 2109276 2274264 2463786 3163914 3285048 3695679 4218552 4927572 6327828 7391358 9855144 12655656 14782716 29565432 47454203 94908406 142362609 189816812 284725218 379633624 427087827 569450436 616904639 854175654 1138900872 1233809278 1281263481 1708351308 1850713917 2467618556 2562526962 3416702616 3701427834 4935237112 5125053924 5552141751 7402855668 10250107848 11104283502 14805711336 16656425253 22208567004 33312850506 44417134008 66625701012 133251402024