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13425870040 = 23511236719801
BaseRepresentation
bin11001000000011111…
…01000010011011000
31021122200010212022221
430200033220103120
5204444010320130
610100122553424
7653464004152
oct144017502330
937580125287
1013425870040
11576a60a970
122728368874
13135c6a04cb
14915145ad2
15538a2587a
hex3203e84d8

13425870040 has 128 divisors (see below), whose sum is σ = 34902213120. Its totient is φ = 4599936000.

The previous prime is 13425870001. The next prime is 13425870077. The reversal of 13425870040 is 4007852431.

It is a junction number, because it is equal to n+sod(n) for n = 13425869978 and 13425870005.

It is a congruent number.

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, 668140 + ... + 687940.

It is an arithmetic number, because the mean of its divisors is an integer number (272673540).

Almost surely, 213425870040 is an apocalyptic number.

13425870040 is a gapful number since it is divisible by the number (10) 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 13425870040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17451106560).

13425870040 is an abundant number, since it is smaller than the sum of its proper divisors (21476343080).

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

13425870040 is a wasteful number, since it uses less digits than its factorization.

13425870040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19913 (or 19909 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 13425870040 in words is "thirteen billion, four hundred twenty-five million, eight hundred seventy thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 67 88 92 110 115 134 184 220 230 253 268 335 440 460 506 536 670 737 920 1012 1265 1340 1474 1541 2024 2530 2680 2948 3082 3685 5060 5896 6164 7370 7705 10120 12328 14740 15410 16951 19801 29480 30820 33902 39602 61640 67804 79204 84755 99005 135608 158408 169510 198010 217811 339020 396020 435622 455423 678040 792040 871244 910846 1089055 1326667 1742488 1821692 2178110 2277115 2653334 3643384 4356220 4554230 5009653 5306668 6633335 8712440 9108460 10019306 10613336 13266670 14593337 18216920 20038612 25048265 26533340 29186674 30513341 40077224 50096530 53066680 58373348 61026682 72966685 100193060 116746696 122053364 145933370 152566705 200386120 244106728 291866740 305133410 335646751 583733480 610266820 671293502 1220533640 1342587004 1678233755 2685174008 3356467510 6712935020 13425870040