Search a number
-
+
145183551075 = 32524791914939
BaseRepresentation
bin1000011100110110011…
…1010010111001100011
3111212202002110120001100
42013031213102321203
54334313442113300
6150410231205443
713326532552053
oct2071547227143
9455662416040
10145183551075
1156632369852
1224179816883
13108c9768b94
147053c2d563
153b9ad33700
hex21cd9d2e63

145183551075 has 72 divisors (see below), whose sum is σ = 265879411200. Its totient is φ = 75696223680.

The previous prime is 145183551049. The next prime is 145183551103. The reversal of 145183551075 is 570155381541.

145183551075 is a `hidden beast` number, since 1 + 4 + 51 + 83 + 5 + 510 + 7 + 5 = 666.

It is not a de Polignac number, because 145183551075 - 224 = 145166773859 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 145183551075.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9710956 + ... + 9725894.

It is an arithmetic number, because the mean of its divisors is an integer number (3692769600).

Almost surely, 2145183551075 is an apocalyptic number.

145183551075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145183551075 is a deficient number, since it is larger than the sum of its proper divisors (120695860125).

145183551075 is a wasteful number, since it uses less digits than its factorization.

145183551075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15921 (or 15913 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 45.

The spelling of 145183551075 in words is "one hundred forty-five billion, one hundred eighty-three million, five hundred fifty-one thousand, seventy-five".

Divisors: 1 3 5 9 15 25 45 47 75 141 225 235 423 705 919 1175 2115 2757 3525 4595 8271 10575 13785 14939 22975 41355 43193 44817 68925 74695 129579 134451 206775 215965 224085 373475 388737 647895 672255 702133 1079825 1120425 1943685 2106399 3239475 3361275 3510665 6319197 9718425 10531995 13728941 17553325 31595985 41186823 52659975 68644705 123560469 157979925 205934115 343223525 617802345 645260227 1029670575 1935780681 3089011725 3226301135 5807342043 9678903405 16131505675 29036710215 48394517025 145183551075