Search a number
-
+
154234235132432 = 247132511576126777
BaseRepresentation
bin100011000100011001110100…
…110011000001101000010000
3202020002122112000220002201222
4203010121310303001220100
5130203433203143214212
61304010121321544212
744326025061426320
oct4304316463015020
9666078460802658
10154234235132432
114516440a943804
121536b765345068
13680a2c25a5710
142a12d96525280
1512c6ebe1a6c72
hex8c4674cc1a10

154234235132432 has 160 divisors (see below), whose sum is σ = 369291845309184. Its totient is φ = 60766525440000.

The previous prime is 154234235132381. The next prime is 154234235132563. The reversal of 154234235132432 is 234231532432451.

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, 5759938628 + ... + 5759965404.

Almost surely, 2154234235132432 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 154234235132432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184645922654592).

154234235132432 is an abundant number, since it is smaller than the sum of its proper divisors (215057610176752).

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

154234235132432 is a wasteful number, since it uses less digits than its factorization.

154234235132432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42817 (or 42811 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 44.

Adding to 154234235132432 its reverse (234231532432451), we get a palindrome (388465767564883).

The spelling of 154234235132432 in words is "one hundred fifty-four trillion, two hundred thirty-four billion, two hundred thirty-five million, one hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 251 364 502 728 1004 1456 1757 2008 3263 3514 4016 6526 7028 13052 14056 15761 22841 26104 26777 28112 31522 45682 52208 53554 63044 91364 107108 110327 126088 182728 187439 204893 214216 220654 252176 348101 365456 374878 409786 428432 441308 696202 749756 819572 882616 1392404 1434251 1499512 1639144 1765232 2436707 2784808 2868502 2999024 3278288 3956011 4873414 5569616 5737004 6721027 7912022 9746828 11474008 13442054 15824044 19493656 22948016 26884108 27692077 31648088 38987312 47047189 51428143 53768216 55384154 63296176 87373351 94094378 102856286 107536432 110768308 174746702 188188756 205712572 221536616 349493404 359997001 376377512 411425144 422032297 443073232 611613457 698986808 719994002 752755024 822850288 844064594 1223226914 1397973616 1439988004 1688129188 2446453828 2879976008 2954226079 3376258376 4892907656 5486419861 5759952016 5908452158 6752516752 9785815312 10972839722 11816904316 21945679444 23633808632 38404939027 43891358888 47267617264 76809878054 87782717776 105930106547 153619756108 211860213094 307239512216 423720426188 614479024432 741510745829 847440852376 1377091385111 1483021491658 1694881704752 2754182770222 2966042983316 5508365540444 5932085966632 9639639695777 11016731080888 11864171933264 19279279391554 22033462161776 38558558783108 77117117566216 154234235132432