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145430022515532 = 223172139301689491
BaseRepresentation
bin100001000100010010010000…
…110101001110101101001100
3201001220222022022120211212220
4201010102100311032231030
5123030211141230444112
61233145344030255340
742426654350105106
oct4104222065165514
9631828268524786
10145430022515532
114237a5873a2407
1214389390357550
13631bcb905c491
1427cabca262576
1511c2e7e1cb98c
hex844490d4eb4c

145430022515532 has 72 divisors (see below), whose sum is σ = 363065202252480. Its totient is φ = 45296866786560.

The previous prime is 145430022515527. The next prime is 145430022515551. The reversal of 145430022515532 is 235515220034541.

It is a super-3 number, since 3×1454300225155323 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150362694 + ... + 151326797.

Almost surely, 2145430022515532 is an apocalyptic number.

145430022515532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145430022515532 is an abundant number, since it is smaller than the sum of its proper divisors (217635179736948).

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

145430022515532 is a wasteful number, since it uses less digits than its factorization.

145430022515532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301689671 (or 301689652 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 145430022515532 in words is "one hundred forty-five trillion, four hundred thirty billion, twenty-two million, five hundred fifteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 139 204 278 289 417 556 578 834 867 1156 1668 1734 2363 3468 4726 7089 9452 14178 28356 40171 80342 120513 160684 241026 482052 301689491 603378982 905068473 1206757964 1810136946 3620273892 5128721347 10257442694 15386164041 20514885388 30772328082 41934839249 61544656164 83869678498 87188262899 125804517747 167739356996 174376525798 251609035494 261564788697 348753051596 503218070988 523129577394 712892267233 1046259154788 1425784534466 2138676801699 2851569068932 4277353603398 8554707206796 12119168542961 24238337085922 36357505628883 48476674171844 72715011257766 145430022515532