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151116505140 = 22358940170571
BaseRepresentation
bin1000110010111100111…
…1101110000000110100
3112110001120100211222210
42030233033232000310
54433441311131030
6153231051053420
713626544046166
oct2145717560064
9473046324883
10151116505140
11590a7366a77
1225354741270
131133398b8a3
147457b88936
153de6b25bb0
hex232f3ee034

151116505140 has 96 divisors (see below), whose sum is σ = 428953553280. Its totient is φ = 39745024000.

The previous prime is 151116505129. The next prime is 151116505157. The reversal of 151116505140 is 41505611151.

151116505140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1511165051403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 151116505098 and 151116505107.

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 31 ways as a sum of consecutive naturals, for example, 2106055 + ... + 2176625.

It is an arithmetic number, because the mean of its divisors is an integer number (4468266180).

Almost surely, 2151116505140 is an apocalyptic number.

151116505140 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 151116505140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214476776640).

151116505140 is an abundant number, since it is smaller than the sum of its proper divisors (277837048140).

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

151116505140 is a wasteful number, since it uses less digits than its factorization.

151116505140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71073 (or 71071 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 30.

The spelling of 151116505140 in words is "one hundred fifty-one billion, one hundred sixteen million, five hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 401 445 534 802 890 1068 1203 1335 1604 1780 2005 2406 2670 4010 4812 5340 6015 8020 12030 24060 35689 70571 71378 107067 141142 142756 178445 211713 214134 282284 352855 356890 423426 428268 535335 705710 713780 846852 1058565 1070670 1411420 2117130 2141340 4234260 6280819 12561638 18842457 25123276 28298971 31404095 37684914 56597942 62808190 75369828 84896913 94212285 113195884 125616380 141494855 169793826 188424570 282989710 339587652 376849140 424484565 565979420 848969130 1697938260 2518608419 5037216838 7555825257 10074433676 12593042095 15111650514 25186084190 30223301028 37779126285 50372168380 75558252570 151116505140