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155214040212450 = 232524320533907159
BaseRepresentation
bin100011010010101010010101…
…101110110010001111100010
3202100120022120100000022000200
4203102222111232302033202
5130321011323243244300
61310040202401130030
744456562416252532
oct4322522556621742
9670508510008020
10155214040212450
11455019a530738a
12154a9630029916
13687b80c99a65b
142a485848274c2
1512e27179ed200
hex8d2a95bb23e2

155214040212450 has 144 divisors (see below), whose sum is σ = 426914212021440. Its totient is φ = 40408140608640.

The previous prime is 155214040212431. The next prime is 155214040212467. The reversal of 155214040212450 is 54212040412551.

155214040212450 is a `hidden beast` number, since 1 + 5 + 5 + 2 + 1 + 4 + 0 + 402 + 1 + 245 + 0 = 666.

155214040212450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1552140402124502 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37771971 + ... + 41679129.

Almost surely, 2155214040212450 is an apocalyptic number.

155214040212450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 155214040212450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213457106010720).

155214040212450 is an abundant number, since it is smaller than the sum of its proper divisors (271700171808990).

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

155214040212450 is a wasteful number, since it uses less digits than its factorization.

155214040212450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909273 (or 3909265 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 155214040212450 in words is "one hundred fifty-five trillion, two hundred fourteen billion, forty million, two hundred twelve thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 43 45 50 75 86 90 129 150 215 225 258 387 430 450 645 774 1075 1290 1935 2053 2150 3225 3870 4106 6159 6450 9675 10265 12318 18477 19350 20530 30795 36954 51325 61590 88279 92385 102650 153975 176558 184770 264837 307950 441395 461925 529674 794511 882790 923850 1324185 1589022 2206975 2648370 3907159 3972555 4413950 6620925 7814318 7945110 11721477 13241850 19535795 19862775 23442954 35164431 39071590 39725550 58607385 70328862 97678975 117214770 168007837 175822155 195357950 293036925 336015674 351644310 504023511 586073850 840039185 879110775 1008047022 1512070533 1680078370 1758221550 2520117555 3024141066 4200195925 5040235110 7560352665 8021397427 8400391850 12600587775 15120705330 16042794854 24064192281 25201175550 37801763325 40106987135 48128384562 72192576843 75603526650 80213974270 120320961405 144385153686 200534935675 240641922810 344920089361 360962884215 401069871350 601604807025 689840178722 721925768430 1034760268083 1203209614050 1724600446805 1804814421075 2069520536166 3104280804249 3449200893610 3609628842150 5173801340415 6208561608498 8623002234025 10347602680830 15521404021245 17246004468050 25869006702075 31042808042490 51738013404150 77607020106225 155214040212450