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151140531040 = 255167233871
BaseRepresentation
bin1000110011000010101…
…1010111101101100000
3112110010020120111022221
42030300223113231200
54434013433443130
6153233310040424
713630255213432
oct2146053275540
9473106514287
10151140531040
1159109986a94
12253607a9114
13113389515b5
14745b040652
153de8cbe87a
hex2330ad7b60

151140531040 has 72 divisors (see below), whose sum is σ = 359231054112. Its totient is φ = 60092424960.

The previous prime is 151140531023. The next prime is 151140531043. The reversal of 151140531040 is 40135041151.

It is a junction number, because it is equal to n+sod(n) for n = 151140530996 and 151140531014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151140531043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4445305 + ... + 4479175.

It is an arithmetic number, because the mean of its divisors is an integer number (4989320196).

Almost surely, 2151140531040 is an apocalyptic number.

151140531040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151140531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179615527056).

151140531040 is an abundant number, since it is smaller than the sum of its proper divisors (208090523072).

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

151140531040 is an equidigital number, since it uses as much as digits as its factorization.

151140531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34220 (or 34045 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 151140531040 its reverse (40135041151), we get a palindrome (191275572191).

The spelling of 151140531040 in words is "one hundred fifty-one billion, one hundred forty million, five hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 167 334 668 835 1336 1670 2672 3340 5344 6680 13360 26720 27889 33871 55778 67742 111556 135484 139445 169355 223112 270968 278890 338710 446224 541936 557780 677420 892448 1083872 1115560 1354840 2231120 2709680 4462240 5419360 5656457 11312914 22625828 28282285 45251656 56564570 90503312 113129140 181006624 226258280 452516560 905033120 944628319 1889256638 3778513276 4723141595 7557026552 9446283190 15114053104 18892566380 30228106208 37785132760 75570265520 151140531040