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145430152032 = 25311197248313
BaseRepresentation
bin1000011101110001010…
…0000000001101100000
3111220101021111011222010
42013130110000031200
54340320104331112
6150450520512520
713335615616224
oct2073424001540
9456337434863
10145430152032
11567495907a0
122422831b740
131093888b3c9
1470788a2784
153bb27e563c
hex21dc500360

145430152032 has 96 divisors (see below), whose sum is σ = 438378030720. Its totient is φ = 41750277120.

The previous prime is 145430152027. The next prime is 145430152069. The reversal of 145430152032 is 230251034541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1454301520322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3604093 + ... + 3644220.

It is an arithmetic number, because the mean of its divisors is an integer number (4566437820).

Almost surely, 2145430152032 is an apocalyptic number.

145430152032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145430152032 is an abundant number, since it is smaller than the sum of its proper divisors (292947878688).

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

145430152032 is a wasteful number, since it uses less digits than its factorization.

145430152032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7248356 (or 7248348 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 145430152032 its reverse (230251034541), we get a palindrome (375681186573).

The spelling of 145430152032 in words is "one hundred forty-five billion, four hundred thirty million, one hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 5016 6688 10032 20064 7248313 14496626 21744939 28993252 43489878 57986504 79731443 86979756 115973008 137717947 159462886 173959512 231946016 239194329 275435894 318925772 347919024 413153841 478388658 550871788 637851544 695838048 826307682 956777316 1101743576 1275703088 1514897417 1652615364 1913554632 2203487152 2551406176 3029794834 3305230728 3827109264 4406974304 4544692251 6059589668 6610461456 7654218528 9089384502 12119179336 13220922912 18178769004 24238358672 36357538008 48476717344 72715076016 145430152032