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356114224840 = 235113127794253
BaseRepresentation
bin1010010111010100000…
…11111101011011001000
31021001012012202000001211
411023222003331123020
521313310220143330
6431332511422504
734504561652443
oct5135203753310
91231165660054
10356114224840
11128033217a30
1259025b24a34
132777351b74a
14133438d665a
1593e3c00d2a
hex52ea0fd6c8

356114224840 has 128 divisors (see below), whose sum is σ = 905562270720. Its totient is φ = 124865049600.

The previous prime is 356114224831. The next prime is 356114224901. The reversal of 356114224840 is 48422411653.

It is a happy number.

It is a super-2 number, since 2×3561142248402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 356114224793 and 356114224802.

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, 3731154 + ... + 3825406.

It is an arithmetic number, because the mean of its divisors is an integer number (7074705240).

Almost surely, 2356114224840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 356114224840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452781135360).

356114224840 is an abundant number, since it is smaller than the sum of its proper divisors (549448045880).

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

356114224840 is a wasteful number, since it uses less digits than its factorization.

356114224840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94583 (or 94579 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 356114224840 in words is "three hundred fifty-six billion, one hundred fourteen million, two hundred twenty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 277 310 341 440 554 620 682 1108 1240 1364 1385 1705 2216 2728 2770 3047 3410 5540 6094 6820 8587 11080 12188 13640 15235 17174 24376 30470 34348 42935 60940 68696 85870 94253 94457 121880 171740 188506 188914 343480 377012 377828 471265 472285 754024 755656 942530 944570 1036783 1885060 1889140 2073566 2921843 3770120 3778280 4147132 5183915 5843686 8294264 10367830 11687372 14609215 20735660 23374744 26108081 29218430 32140273 41471320 52216162 58436860 64280546 104432324 116873720 128561092 130540405 160701365 208864648 257122184 261080810 287188891 321402730 522161620 574377782 642805460 809350511 1044323240 1148755564 1285610920 1435944455 1618701022 2297511128 2871888910 3237402044 4046752555 5743777820 6474804088 8093505110 8902855621 11487555640 16187010220 17805711242 32374020440 35611422484 44514278105 71222844968 89028556210 178057112420 356114224840