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402053316240 = 243518118235077
BaseRepresentation
bin1011101100111000011…
…11101011111010010000
31102102202210020122100110
411312130033223322100
523041401122104430
6504411205521320
741022153541512
oct5663417537220
91372683218313
10402053316240
11145567685274
1265b06a13240
132bbb4b62374
1415660b79bb2
15a6d1cdd7b0
hex5d9c3ebe90

402053316240 has 160 divisors (see below), whose sum is σ = 1254185726976. Its totient is φ = 106542397440.

The previous prime is 402053316229. The next prime is 402053316263. The reversal of 402053316240 is 42613350204.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 402053316198 and 402053316207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79188582 + ... + 79193658.

Almost surely, 2402053316240 is an apocalyptic number.

402053316240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402053316240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627092863488).

402053316240 is an abundant number, since it is smaller than the sum of its proper divisors (852132410736).

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

402053316240 is a wasteful number, since it uses less digits than its factorization.

402053316240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7097 (or 7091 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 402053316240 its reverse (42613350204), we get a palindrome (444666666444).

The spelling of 402053316240 in words is "four hundred two billion, fifty-three million, three hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 181 240 362 543 724 905 1086 1448 1810 1823 2172 2715 2896 3620 3646 4344 5077 5430 5469 7240 7292 8688 9115 10154 10860 10938 14480 14584 15231 18230 20308 21720 21876 25385 27345 29168 30462 36460 40616 43440 43752 50770 54690 60924 72920 76155 81232 87504 101540 109380 121848 145840 152310 203080 218760 243696 304620 329963 406160 437520 609240 659926 918937 989889 1218480 1319852 1649815 1837874 1979778 2639704 2756811 3299630 3675748 3959556 4594685 4949445 5279408 5513622 6599260 7351496 7919112 9189370 9255371 9898890 11027244 13198520 13784055 14702992 15838224 18378740 18510742 19797780 22054488 26397040 27568110 27766113 36757480 37021484 39595560 44108976 46276855 55136220 55532226 73514960 74042968 79191120 92553710 110272440 111064452 138830565 148085936 185107420 220544880 222128904 277661130 370214840 444257808 555322260 740429680 1110644520 1675222151 2221289040 3350444302 5025666453 6700888604 8376110755 10051332906 13401777208 16752221510 20102665812 25128332265 26803554416 33504443020 40205331624 50256664530 67008886040 80410663248 100513329060 134017772080 201026658120 402053316240