Search a number
-
+
145405562445 = 325111361370427
BaseRepresentation
bin1000011101101011011…
…0001100111001001101
3111220022120012220101200
42013122312030321031
54340242310444240
6150444241500113
713335166613403
oct2073266147115
9456276186350
10145405562445
1156736716220
1224220041639
131093375bc60
147075501473
153bb0589930
hex21dad8ce4d

145405562445 has 96 divisors (see below), whose sum is σ = 300953487744. Its totient is φ = 64009612800.

The previous prime is 145405562431. The next prime is 145405562459. The reversal of 145405562445 is 544265504541.

145405562445 is a `hidden beast` number, since 1 + 4 + 5 + 40 + 5 + 562 + 4 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (145405562431) and next prime (145405562459).

It is not a de Polignac number, because 145405562445 - 212 = 145405558349 is a prime.

It is a super-2 number, since 2×1454055624452 (a number of 23 digits) contains 22 as substring.

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 145405562445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207322 + ... + 577748.

It is an arithmetic number, because the mean of its divisors is an integer number (3134932164).

Almost surely, 2145405562445 is an apocalyptic number.

145405562445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145405562445 is an abundant number, since it is smaller than the sum of its proper divisors (155547925299).

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

145405562445 is a wasteful number, since it uses less digits than its factorization.

145405562445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370523 (or 370520 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 145405562445 in words is "one hundred forty-five billion, four hundred five million, five hundred sixty-two thousand, four hundred forty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 61 65 99 117 143 165 183 195 305 429 495 549 585 671 715 793 915 1287 2013 2145 2379 2745 3355 3965 6039 6435 7137 8723 10065 11895 26169 30195 35685 43615 78507 130845 370427 392535 1111281 1852135 3333843 4074697 4815551 5556405 12224091 14446653 16669215 20373485 22596047 24077755 36672273 43339959 52971061 61120455 67788141 72233265 112980235 158913183 183361365 203364423 216699795 248556517 264855305 293748611 338940705 476739549 745669551 794565915 881245833 1016822115 1242782585 1468743055 2237008653 2383697745 2643737499 3231234721 3728347755 4406229165 9693704163 11185043265 13218687495 16156173605 29081112489 48468520815 145405562445