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145500372432 = 24324636473373
BaseRepresentation
bin1000011110000001111…
…1110111110111010000
3111220120011121202020200
42013200133313313100
54340441043404212
6150501505535200
713340430521352
oct2074037676720
9456504552220
10145500372432
1156785192388
1224247944500
131094a2a633c
147083d410d2
153bb8a666dc
hex21e07f7dd0

145500372432 has 120 divisors (see below), whose sum is σ = 408830333184. Its totient is φ = 48306246912.

The previous prime is 145500372421. The next prime is 145500372443. The reversal of 145500372432 is 234273005541.

145500372432 is a `hidden beast` number, since 1 + 4 + 550 + 0 + 3 + 72 + 4 + 32 = 666.

145500372432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145500372421) and next prime (145500372443).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43135098 + ... + 43138470.

Almost surely, 2145500372432 is an apocalyptic number.

145500372432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145500372432 is an abundant number, since it is smaller than the sum of its proper divisors (263329960752).

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

145500372432 is a wasteful number, since it uses less digits than its factorization.

145500372432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 145500372432 its reverse (234273005541), we get a palindrome (379773377973).

The spelling of 145500372432 in words is "one hundred forty-five billion, five hundred million, three hundred seventy-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 463 647 926 1294 1389 1852 1941 2588 2778 3373 3704 3882 4167 5176 5556 5823 6746 7408 7764 8334 10119 10352 11112 11646 13492 15528 16668 20238 22224 23292 26984 30357 31056 33336 40476 46584 53968 60714 66672 80952 93168 121428 161904 242856 299561 485712 599122 898683 1198244 1561699 1797366 2182331 2396488 2696049 3123398 3594732 4364662 4685097 4792976 5392098 6246796 6546993 7189464 8729324 9370194 10784196 12493592 13093986 14055291 14378928 17458648 18740388 19640979 21568392 24987184 26187972 28110582 34917296 37480776 39281958 43136784 52375944 56221164 74961552 78563916 104751888 112442328 157127832 224884656 314255664 1010419253 2020838506 3031257759 4041677012 6062515518 8083354024 9093773277 12125031036 16166708048 18187546554 24250062072 36375093108 48500124144 72750186216 145500372432