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151054327040 = 285241489673
BaseRepresentation
bin1000110010101110001…
…0100001110100000000
3112102220020100212200012
42030223202201310000
54433324401431130
6153220550244052
713625160411011
oct2145342416400
9472806325605
10151054327040
1159075258711
1225337956628
1311323b2b406
14744d801008
153de1442995
hex232b8a1d00

151054327040 has 72 divisors (see below), whose sum is σ = 363324397128. Its totient is φ = 60170895360.

The previous prime is 151054327019. The next prime is 151054327063. The reversal of 151054327040 is 40723450151.

It can be written as a sum of positive squares in 4 ways, for example, as 1402951936 + 149651375104 = 37456^2 + 386848^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 151054326988 and 151054327006.

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, 63644 + ... + 553316.

Almost surely, 2151054327040 is an apocalyptic number.

151054327040 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 151054327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181662198564).

151054327040 is an abundant number, since it is smaller than the sum of its proper divisors (212270070088).

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

151054327040 is an equidigital number, since it uses as much as digits as its factorization.

151054327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489935 (or 489921 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

Adding to 151054327040 its reverse (40723450151), we get a palindrome (191777777191).

The spelling of 151054327040 in words is "one hundred fifty-one billion, fifty-four million, three hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 241 256 320 482 640 964 1205 1280 1928 2410 3856 4820 7712 9640 15424 19280 30848 38560 61696 77120 154240 308480 489673 979346 1958692 2448365 3917384 4896730 7834768 9793460 15669536 19586920 31339072 39173840 62678144 78347680 118011193 125356288 156695360 236022386 313390720 472044772 590055965 626781440 944089544 1180111930 1888179088 2360223860 3776358176 4720447720 7552716352 9440895440 15105432704 18881790880 30210865408 37763581760 75527163520 151054327040