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145320313474180 = 225135313776976213
BaseRepresentation
bin100001000010101100000101…
…101010011100110010000100
3201001112111010111200002202001
4201002230011222130302010
5123021412000222133210
61233023121432555044
742416021560456435
oct4102540552346204
9631474114602661
10145320313474180
1142337aa9510899
1214370072b52a84
136311853c15c70
1427c577d97b48c
1511c01ac90903a
hex842b05a9cc84

145320313474180 has 96 divisors (see below), whose sum is σ = 337292527076064. Its totient is φ = 52260074041344.

The previous prime is 145320313474169. The next prime is 145320313474183. The reversal of 145320313474180 is 81474313023541.

It can be written as a sum of positive squares in 16 ways, for example, as 77777688935556 + 67542624538624 = 8819166^2 + 8218432^2 .

It is a super-2 number, since 2×1453203134741802 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145320313474180.

It is not an unprimeable number, because it can be changed into a prime (145320313474183) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36600247 + ... + 40375966.

It is an arithmetic number, because the mean of its divisors is an integer number (3513463823709).

Almost surely, 2145320313474180 is an apocalyptic number.

145320313474180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145320313474180 is an abundant number, since it is smaller than the sum of its proper divisors (191972213601884).

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

145320313474180 is a wasteful number, since it uses less digits than its factorization.

145320313474180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76976425 (or 76976423 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 145320313474180 in words is "one hundred forty-five trillion, three hundred twenty billion, three hundred thirteen million, four hundred seventy-four thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 137 212 260 265 274 530 548 685 689 1060 1370 1378 1781 2740 2756 3445 3562 6890 7124 7261 8905 13780 14522 17810 29044 35620 36305 72610 94393 145220 188786 377572 471965 943930 1887860 76976213 153952426 307904852 384881065 769762130 1000690769 1539524260 2001381538 4002763076 4079739289 5003453845 8159478578 10006907690 10545741181 16318957156 20013815380 20398696445 21091482362 40797392890 42182964724 52728705905 53036610757 81594785780 105457411810 106073221514 137094635353 210914823620 212146443028 265183053785 274189270706 530366107570 548378541412 558924282593 685473176765 1060732215140 1117848565186 1370946353530 2235697130372 2741892707060 2794621412965 5589242825930 7266015673709 11178485651860 14532031347418 29064062694836 36330078368545 72660156737090 145320313474180