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56014202340 = 22325598959263
BaseRepresentation
bin110100001010101101…
…001110010111100100
312100120201121022020200
4310022231032113210
51404204113433330
641422122430500
74022040602235
oct641255162744
9170521538220
1056014202340
1121834614308
12aa33062430
135388a6c035
1429d539908c
1516cc885a60
hexd0ab4e5e4

56014202340 has 144 divisors (see below), whose sum is σ = 174733977600. Its totient is φ = 14518715904.

The previous prime is 56014202327. The next prime is 56014202353. The reversal of 56014202340 is 4320241065.

56014202340 is a `hidden beast` number, since 5 + 6 + 0 + 1 + 420 + 234 + 0 = 666.

56014202340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56014202327) and next prime (56014202353).

It is a super-2 number, since 2×560142023402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915549 + ... + 974811.

It is an arithmetic number, because the mean of its divisors is an integer number (1213430400).

Almost surely, 256014202340 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 56014202340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87366988800).

56014202340 is an abundant number, since it is smaller than the sum of its proper divisors (118719775260).

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

56014202340 is a wasteful number, since it uses less digits than its factorization.

56014202340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59426 (or 59421 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 56014202340 in words is "fifty-six billion, fourteen million, two hundred two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 89 90 118 177 178 180 236 267 295 354 356 445 531 534 590 708 801 885 890 1062 1068 1180 1335 1602 1770 1780 2124 2655 2670 3204 3540 4005 5251 5310 5340 8010 10502 10620 15753 16020 21004 26255 31506 47259 52510 59263 63012 78765 94518 105020 118526 157530 177789 189036 236295 237052 296315 315060 355578 472590 533367 592630 711156 888945 945180 1066734 1185260 1777890 2133468 2666835 3496517 3555780 5274407 5333670 6993034 10489551 10548814 10667340 13986068 15823221 17482585 20979102 21097628 26372035 31468653 31646442 34965170 41958204 47469663 52447755 52744070 62937306 63292884 69930340 79116105 94939326 104895510 105488140 125874612 157343265 158232210 189878652 209791020 237348315 311190013 314686530 316464420 474696630 622380026 629373060 933570039 949393260 1244760052 1555950065 1867140078 2800710117 3111900130 3734280156 4667850195 5601420234 6223800260 9335700390 11202840468 14003550585 18671400780 28007101170 56014202340