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147998430144 = 26321371875487
BaseRepresentation
bin1000100111010101100…
…1001101001111000000
3112011000021011020012200
42021311121031033000
54411100044231034
6151553423553200
713456352620425
oct2116531151700
9464007136180
10147998430144
115784728a094
122482445b800
1310c579a56b6
14723da07d4c
153cb300ba99
hex227564d3c0

147998430144 has 84 divisors (see below), whose sum is σ = 427307434944. Its totient is φ = 48972690432.

The previous prime is 147998430137. The next prime is 147998430149. The reversal of 147998430144 is 441034899741.

147998430144 is a `hidden beast` number, since 1 + 479 + 98 + 43 + 0 + 1 + 44 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147998430149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 858832 + ... + 1016655.

Almost surely, 2147998430144 is an apocalyptic number.

It is an amenable number.

147998430144 is an abundant number, since it is smaller than the sum of its proper divisors (279309004800).

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

147998430144 is a wasteful number, since it uses less digits than its factorization.

147998430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875642 (or 1875629 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 147998430144 in words is "one hundred forty-seven billion, nine hundred ninety-eight million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 137 144 192 274 288 411 548 576 822 1096 1233 1644 2192 2466 3288 4384 4932 6576 8768 9864 13152 19728 26304 39456 78912 1875487 3750974 5626461 7501948 11252922 15003896 16879383 22505844 30007792 33758766 45011688 60015584 67517532 90023376 120031168 135035064 180046752 256941719 270070128 360093504 513883438 540140256 770825157 1027766876 1080280512 1541650314 2055533752 2312475471 3083300628 4111067504 4624950942 6166601256 8222135008 9249901884 12333202512 16444270016 18499803768 24666405024 36999607536 49332810048 73999215072 147998430144