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145276307640 = 233253877104087
BaseRepresentation
bin1000011101001100100…
…1001000100010111000
3111212222120000002010200
42013103021020202320
54340011213321030
6150423343242200
713332040145262
oct2072311104270
9455876002120
10145276307640
115667a763172
12241a48a9360
1310912a44719
147062296b32
153ba4056d60
hex21d32488b8

145276307640 has 96 divisors (see below), whose sum is σ = 472274318880. Its totient is φ = 38729984256.

The previous prime is 145276307629. The next prime is 145276307651. The reversal of 145276307640 is 46703672541.

145276307640 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 7 + 630 + 7 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145276307629) and next prime (145276307651).

It is a super-2 number, since 2×1452763076402 (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 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, 1343677 + ... + 1447763.

It is an arithmetic number, because the mean of its divisors is an integer number (4919524155).

Almost surely, 2145276307640 is an apocalyptic number.

145276307640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145276307640 is an abundant number, since it is smaller than the sum of its proper divisors (326998011240).

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

145276307640 is a wasteful number, since it uses less digits than its factorization.

145276307640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107981 (or 107974 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 145276307640 in words is "one hundred forty-five billion, two hundred seventy-six million, three hundred seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3877 7754 11631 15508 19385 23262 31016 34893 38770 46524 58155 69786 77540 93048 104087 116310 139572 155080 174465 208174 232620 279144 312261 348930 416348 465240 520435 624522 697860 832696 936783 1040870 1249044 1395720 1561305 1873566 2081740 2498088 3122610 3747132 4163480 4683915 6245220 7494264 9367830 12490440 18735660 37471320 403545299 807090598 1210635897 1614181196 2017726495 2421271794 3228362392 3631907691 4035452990 4842543588 6053179485 7263815382 8070905980 9685087176 12106358970 14527630764 16141811960 18159538455 24212717940 29055261528 36319076910 48425435880 72638153820 145276307640