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34235150124 = 22372397182681
BaseRepresentation
bin11111111000100100…
…101110111100101100
310021100220110211011010
4133320210232330230
51030103144300444
623421042025220
72321243655210
oct377044567454
9107326424133
1034235150124
1113578938aaa
126775348210
1332c7929ca6
14192aad0940
15d5584d2b9
hex7f892ef2c

34235150124 has 96 divisors (see below), whose sum is σ = 96245646336. Its totient is φ = 9259683840.

The previous prime is 34235150113. The next prime is 34235150227. The reversal of 34235150124 is 42105153243.

It is a junction number, because it is equal to n+sod(n) for n = 34235150091 and 34235150100.

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, 96064 + ... + 278744.

It is an arithmetic number, because the mean of its divisors is an integer number (1002558816).

Almost surely, 234235150124 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 34235150124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48122823168).

34235150124 is an abundant number, since it is smaller than the sum of its proper divisors (62010496212).

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

34235150124 is a wasteful number, since it uses less digits than its factorization.

34235150124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182815 (or 182813 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 34235150124 in words is "thirty-four billion, two hundred thirty-five million, one hundred fifty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 97 138 161 194 276 291 322 388 483 582 644 679 966 1164 1358 1932 2037 2231 2716 4074 4462 6693 8148 8924 13386 15617 26772 31234 46851 62468 93702 182681 187404 365362 548043 730724 1096086 1278767 2192172 2557534 3836301 4201663 5115068 7672602 8403326 12604989 15345204 16806652 17720057 25209978 29411641 35440114 50419956 53160171 58823282 70880228 88234923 106320342 117646564 124040399 176469846 212640684 248080798 352939692 372121197 407561311 496161596 744242394 815122622 1222683933 1488484788 1630245244 2445367866 2852929177 4890735732 5705858354 8558787531 11411716708 17117575062 34235150124