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146127713000 = 2353146127713
BaseRepresentation
bin1000100000010111100…
…0111111001011101000
3111222011220001221201112
42020011320333023220
54343232143304000
6151044040005452
713362116031533
oct2100570771350
9458156057645
10146127713000
1156a77314665
12243a1a60888
1310a1a255589
1471033a3a1a
153c03b85235
hex2205e3f2e8

146127713000 has 32 divisors (see below), whose sum is σ = 341938850760. Its totient is φ = 58451084800.

The previous prime is 146127712999. The next prime is 146127713003. The reversal of 146127713000 is 317721641.

It can be written as a sum of positive squares in 4 ways, for example, as 79049820964 + 67077892036 = 281158^2 + 258994^2 .

It is a super-2 number, since 2×1461277130002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146127713003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73062857 + ... + 73064856.

Almost surely, 2146127713000 is an apocalyptic number.

146127713000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146127713000 is an abundant number, since it is smaller than the sum of its proper divisors (195811137760).

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

146127713000 is a wasteful number, since it uses less digits than its factorization.

146127713000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146127734 (or 146127720 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The spelling of 146127713000 in words is "one hundred forty-six billion, one hundred twenty-seven million, seven hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 146127713 292255426 584510852 730638565 1169021704 1461277130 2922554260 3653192825 5845108520 7306385650 14612771300 18265964125 29225542600 36531928250 73063856500 146127713000