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42153511320 = 233554336781
BaseRepresentation
bin100111010000100010…
…111000100110011000
311000210202021020200000
4213100202320212120
51142312244330240
631210504013000
73021413635314
oct472042704630
9130722236600
1042153511320
1116971615a68
128205161160
133c8a287b0b
14207c5c6b44
15116aabe430
hex9d08b8998

42153511320 has 96 divisors (see below), whose sum is σ = 142072978320. Its totient is φ = 11240933760.

The previous prime is 42153511313. The next prime is 42153511327. The reversal of 42153511320 is 2311535124.

It is an interprime number because it is at equal distance from previous prime (42153511313) and next prime (42153511327).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42153511327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2158671 + ... + 2178110.

Almost surely, 242153511320 is an apocalyptic number.

42153511320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42153511320 is an abundant number, since it is smaller than the sum of its proper divisors (99919467000).

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

42153511320 is a wasteful number, since it uses less digits than its factorization.

42153511320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336807 (or 4336791 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 42153511320 in words is "forty-two billion, one hundred fifty-three million, five hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 4336781 8673562 13010343 17347124 21683905 26020686 34694248 39031029 43367810 52041372 65051715 78062058 86735620 104082744 117093087 130103430 156124116 173471240 195155145 234186174 260206860 312248232 351279261 390310290 468372348 520413720 585465435 702558522 780620580 936744696 1053837783 1170930870 1405117044 1561241160 1756396305 2107675566 2341861740 2810234088 3512792610 4215351132 4683723480 5269188915 7025585220 8430702264 10538377830 14051170440 21076755660 42153511320