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355114400520 = 2335111092468129
BaseRepresentation
bin1010010101011100111…
…01111011101100001000
31020221121112101122221110
411022232131323230020
521304233241304040
6431045354010320
734441031412645
oct5125635735410
91227545348843
10355114400520
1112766a904140
12589a71169a0
1327644343519
141328abd2dcc
159386056980
hex52ae77bb08

355114400520 has 128 divisors (see below), whose sum is σ = 1172855376000. Its totient is φ = 85298503680.

The previous prime is 355114400503. The next prime is 355114400539. The reversal of 355114400520 is 25004411553.

It is a super-2 number, since 2×3551144005202 (a number of 24 digits) contains 22 as substring.

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

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, 1090185 + ... + 1377944.

It is an arithmetic number, because the mean of its divisors is an integer number (9162932625).

Almost surely, 2355114400520 is an apocalyptic number.

355114400520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

355114400520 is an abundant number, since it is smaller than the sum of its proper divisors (817740975480).

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

355114400520 is a wasteful number, since it uses less digits than its factorization.

355114400520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468263 (or 2468259 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 355114400520 in words is "three hundred fifty-five billion, one hundred fourteen million, four hundred thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 109 110 120 132 165 218 220 264 327 330 436 440 545 654 660 872 1090 1199 1308 1320 1635 2180 2398 2616 3270 3597 4360 4796 5995 6540 7194 9592 11990 13080 14388 17985 23980 28776 35970 47960 71940 143880 2468129 4936258 7404387 9872516 12340645 14808774 19745032 24681290 27149419 29617548 37021935 49362580 54298838 59235096 74043870 81448257 98725160 108597676 135747095 148087740 162896514 217195352 269026061 271494190 296175480 325793028 407241285 538052122 542988380 651586056 807078183 814482570 1076104244 1085976760 1345130305 1614156366 1628965140 2152208488 2690260610 2959286671 3228312732 3257930280 4035390915 5380521220 5918573342 6456625464 8070781830 8877860013 10761042440 11837146684 14796433355 16141563660 17755720026 23674293368 29592866710 32283127320 35511440052 44389300065 59185733420 71022880104 88778600130 118371466840 177557200260 355114400520