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42240553646040 = 23325269943473461
BaseRepresentation
bin10011001101010111001010…
…01100011111011111011000
312112120011020210220012212100
421212223211030133133120
521014032123213133130
6225501013100443400
711616531203565021
oct1146534514373730
9175504223805770
1042240553646040
1112506133362602
1248a2603b49560
131a75361b19459
14a6064cd75c48
154d3b91568c60
hex266ae531f7d8

42240553646040 has 96 divisors (see below), whose sum is σ = 137332666458000. Its totient is φ = 11259973927680.

The previous prime is 42240553646029. The next prime is 42240553646051. The reversal of 42240553646040 is 4064635504224.

It is a happy number.

42240553646040 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 0 + 5 + 5 + 36 + 4 + 604 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42240553646029) and next prime (42240553646051).

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, 20765091 + ... + 22708370.

Almost surely, 242240553646040 is an apocalyptic number.

42240553646040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42240553646040 is an abundant number, since it is smaller than the sum of its proper divisors (95092112811960).

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

42240553646040 is a wasteful number, since it uses less digits than its factorization.

42240553646040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43476177 (or 43476170 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 42240553646040 in words is "forty-two trillion, two hundred forty billion, five hundred fifty-three million, six hundred forty-six thousand, 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 2699 5398 8097 10796 13495 16194 21592 24291 26990 32388 40485 48582 53980 64776 80970 97164 107960 121455 161940 194328 242910 323880 485820 971640 43473461 86946922 130420383 173893844 217367305 260840766 347787688 391261149 434734610 521681532 652101915 782522298 869469220 1043363064 1304203830 1565044596 1738938440 1956305745 2608407660 3130089192 3912611490 5216815320 7825222980 15650445960 117334871239 234669742478 352004613717 469339484956 586674356195 704009227434 938678969912 1056013841151 1173348712390 1408018454868 1760023068585 2112027682302 2346697424780 2816036909736 3520046137170 4224055364604 4693394849560 5280069205755 7040092274340 8448110729208 10560138411510 14080184548680 21120276823020 42240553646040