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42144501120 = 273521950261
BaseRepresentation
bin100111010000000000…
…100000110110000000
311000210010022110222220
4213100000200312000
51142302443013440
631205542531040
73021244230441
oct472000406600
9130703273886
1042144501120
1116967521517
128202136a80
133c88451937
14207b31d2c8
151169dde8d0
hex9d0020d80

42144501120 has 64 divisors (see below), whose sum is σ = 134335603440. Its totient is φ = 11238533120.

The previous prime is 42144501079. The next prime is 42144501181. The reversal of 42144501120 is 2110544124.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10973211 + ... + 10977050.

Almost surely, 242144501120 is an apocalyptic number.

42144501120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42144501120 is an abundant number, since it is smaller than the sum of its proper divisors (92191102320).

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

42144501120 is a wasteful number, since it uses less digits than its factorization.

42144501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21950283 (or 21950271 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The spelling of 42144501120 in words is "forty-two billion, one hundred forty-four million, five hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 21950261 43900522 65850783 87801044 109751305 131701566 175602088 219502610 263403132 329253915 351204176 439005220 526806264 658507830 702408352 878010440 1053612528 1317015660 1404816704 1756020880 2107225056 2634031320 2809633408 3512041760 4214450112 5268062640 7024083520 8428900224 10536125280 14048167040 21072250560 42144501120