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144103891968 = 210335212091
BaseRepresentation
bin1000011000110101000…
…0101110010000000000
3111202221211220012012000
42012031100232100000
54330111044020333
6150111142304000
713261012604631
oct2061520562000
9452854805160
10144103891968
11561289879a3
1223b18128000
1310786b8a83a
146d906a7888
153b36169713
hex218d42e400

144103891968 has 88 divisors (see below), whose sum is σ = 426766092960. Its totient is φ = 48034621440.

The previous prime is 144103891963. The next prime is 144103891999. The reversal of 144103891968 is 869198301441.

144103891968 is a `hidden beast` number, since 1 + 4 + 410 + 38 + 9 + 196 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (144103891963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2578398 + ... + 2633693.

Almost surely, 2144103891968 is an apocalyptic number.

144103891968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144103891968 is an abundant number, since it is smaller than the sum of its proper divisors (282662200992).

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

144103891968 is an equidigital number, since it uses as much as digits as its factorization.

144103891968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5212120 (or 5212096 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 144103891968 in words is "one hundred forty-four billion, one hundred three million, eight hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 6912 9216 13824 27648 5212091 10424182 15636273 20848364 31272546 41696728 46908819 62545092 83393456 93817638 125090184 140726457 166786912 187635276 250180368 281452914 333573824 375270552 500360736 562905828 667147648 750541104 1000721472 1125811656 1334295296 1501082208 2001442944 2251623312 2668590592 3002164416 4002885888 4503246624 5337181184 6004328832 8005771776 9006493248 12008657664 16011543552 18012986496 24017315328 36025972992 48034630656 72051945984 144103891968