Search a number
-
+
150368037071440 = 2458297226539769
BaseRepresentation
bin100010001100001001001001…
…011011110110101001010000
3201201102001012001011011021111
4202030021021123312221100
5124202112214442241230
61251450042251503104
743446506064223636
oct4214111133665120
9651361161134244
10150368037071440
1143a037a9927321
1214a463bb457a94
1365b9850247676
14291bbcd5a9356
15125b63ec1092a
hex88c2496f6a50

150368037071440 has 40 divisors (see below), whose sum is σ = 349647824131560. Its totient is φ = 60139965290496.

The previous prime is 150368037071411. The next prime is 150368037071513. The reversal of 150368037071440 is 44170730863051.

It can be written as a sum of positive squares in 4 ways, for example, as 27258715696144 + 123109321375296 = 5220988^2 + 11095464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1503680370714402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112606125 + ... + 113933644.

It is an arithmetic number, because the mean of its divisors is an integer number (8741195603289).

Almost surely, 2150368037071440 is an apocalyptic number.

150368037071440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150368037071440 is an abundant number, since it is smaller than the sum of its proper divisors (199279787060120).

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

150368037071440 is a wasteful number, since it uses less digits than its factorization.

150368037071440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226548079 (or 226548073 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

The spelling of 150368037071440 in words is "one hundred fifty trillion, three hundred sixty-eight billion, thirty-seven million, seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 8297 16594 33188 41485 66376 82970 132752 165940 331880 663760 226539769 453079538 906159076 1132698845 1812318152 2265397690 3624636304 4530795380 9061590760 18123181520 1879600463393 3759200926786 7518401853572 9398002316965 15036803707144 18796004633930 30073607414288 37592009267860 75184018535720 150368037071440