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354500023205240 = 235112637159427913
BaseRepresentation
bin101000010011010100111011…
…1111101001011110101111000
31201111011212112010200012202222
41100212221313331023311320
5332431112021420031430
63253543021252143212
7134445532022302523
oct12046516775136570
91644155463605688
10354500023205240
11a2a55685337060
1233914590607b08
13122a62938075a3
146377c6d6c3bba
152aeb55c1429e5
hex1426a77f4bd78

354500023205240 has 128 divisors (see below), whose sum is σ = 873568972108800. Its totient is φ = 128400712504320.

The previous prime is 354500023205221. The next prime is 354500023205257. The reversal of 354500023205240 is 42502320005453.

It is a Cunningham number, because it is equal to 188281712-1.

It is a self number, because there is not a number n which added to its sum of digits gives 354500023205240.

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, 828225524 + ... + 828653436.

It is an arithmetic number, because the mean of its divisors is an integer number (6824757594600).

Almost surely, 2354500023205240 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 354500023205240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436784486054400).

354500023205240 is an abundant number, since it is smaller than the sum of its proper divisors (519068948903560).

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

354500023205240 is a wasteful number, since it uses less digits than its factorization.

354500023205240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435357 (or 435353 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

The spelling of 354500023205240 in words is "three hundred fifty-four trillion, five hundred billion, twenty-three million, two hundred five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 263 440 526 1052 1315 2104 2630 2893 5260 5786 7159 10520 11572 14318 14465 23144 28636 28930 35795 57272 57860 71590 78749 115720 143180 157498 286360 314996 393745 427913 629992 787490 855826 1574980 1711652 1882817 2139565 3149960 3423304 3765634 4279130 4707043 7531268 8558260 9414085 9414086 15062536 17116520 18828170 18828172 20710987 23535215 37656340 37656344 41421974 47070430 75312680 82843948 94140860 103554935 112541119 165687896 188281720 207109870 225082238 414219740 450164476 562705595 828439480 900328952 1125411190 1237952309 2250822380 2475904618 3063429167 4501644760 4951809236 6126858334 6189761545 9903618472 12253716668 12379523090 15317145835 24507433336 24759046180 30634291670 33697720837 49518092360 61268583340 67395441674 122537166680 134790883348 168488604185 269581766696 336977208370 673954416740 805681870921 1347908833480 1611363741842 3222727483684 4028409354605 6445454967368 8056818709210 8862500580131 16113637418420 17725001160262 32227274836840 35450002320524 44312502900655 70900004641048 88625005801310 177250011602620 354500023205240