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151450020440 = 23531350324049
BaseRepresentation
bin1000110100001100011…
…1111110101001011000
3112110220210221011222022
42031003013332221120
54440132201123230
6153324123314012
713641033635045
oct2150307765130
9473823834868
10151450020440
1159258651a54
122542837b908
1311387ac2714
14748a1a41cc
153e160551e5
hex23431fea58

151450020440 has 64 divisors (see below), whose sum is σ = 342545112000. Its totient is φ = 60263903232.

The previous prime is 151450020419. The next prime is 151450020479. The reversal of 151450020440 is 44020054151.

151450020440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6285536 + ... + 6309584.

It is an arithmetic number, because the mean of its divisors is an integer number (5352267375).

Almost surely, 2151450020440 is an apocalyptic number.

151450020440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151450020440 is an abundant number, since it is smaller than the sum of its proper divisors (191095091560).

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

151450020440 is a wasteful number, since it uses less digits than its factorization.

151450020440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24876 (or 24872 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 151450020440 its reverse (44020054151), we get a palindrome (195470074591).

The spelling of 151450020440 in words is "one hundred fifty-one billion, four hundred fifty million, twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 313 503 626 1006 1252 1565 2012 2504 2515 3130 4024 5030 6260 10060 12520 20120 24049 48098 96196 120245 157439 192392 240490 314878 480980 629756 787195 961960 1259512 1574390 3148780 6297560 7527337 12096647 15054674 24193294 30109348 37636685 48386588 60218696 60483235 75273370 96773176 120966470 150546740 241932940 301093480 483865880 3786250511 7572501022 15145002044 18931252555 30290004088 37862505110 75725010220 151450020440