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145034544132 = 2232109193319121
BaseRepresentation
bin1000011100010010111…
…0111000010000000100
3111212100201002012221200
42013010232320100010
54334012320403012
6150343345342500
713323043166352
oct2070456702004
9455321065850
10145034544132
1156566245715
1224137937a30
13108a4926caa
14703c1227d2
153b8cbed3dc
hex21c4bb8404

145034544132 has 72 divisors (see below), whose sum is σ = 370189299480. Its totient is φ = 47874032640.

The previous prime is 145034544113. The next prime is 145034544139. The reversal of 145034544132 is 231445430541.

145034544132 is a `hidden beast` number, since 1 + 4 + 50 + 34 + 544 + 1 + 32 = 666.

145034544132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 74254070016 + 70780474116 = 272496^2 + 266046^2 .

It is a super-3 number, since 3×1450345441323 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145034544139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7575532 + ... + 7594652.

Almost surely, 2145034544132 is an apocalyptic number.

145034544132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145034544132 is an abundant number, since it is smaller than the sum of its proper divisors (225154755348).

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

145034544132 is a wasteful number, since it uses less digits than its factorization.

145034544132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21173 (or 21168 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 145034544132 its reverse (231445430541), we get a palindrome (376479974673).

The spelling of 145034544132 in words is "one hundred forty-five billion, thirty-four million, five hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1933 1962 3866 3924 5799 7732 11598 17397 19121 23196 34794 38242 57363 69588 76484 114726 172089 210697 229452 344178 421394 632091 688356 842788 1264182 1896273 2084189 2528364 3792546 4168378 6252567 7585092 8336756 12505134 18757701 25010268 36960893 37515402 73921786 75030804 110882679 147843572 221765358 332648037 443530716 665296074 1330592148 4028737337 8057474674 12086212011 16114949348 24172424022 36258636033 48344848044 72517272066 145034544132