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157466412240 = 24352549257399
BaseRepresentation
bin1001001010100110111…
…0101100010011010000
3120001110002211112222020
42102221232230103100
510034442400142430
6200201123411440
714243110263654
oct2225156542320
9501402745866
10157466412240
1160865759185
1226627223b80
1311b063aa477
14789b23ca64
154169329b10
hex24a9bac4d0

157466412240 has 80 divisors (see below), whose sum is σ = 488339280000. Its totient is φ = 41974406656.

The previous prime is 157466412221. The next prime is 157466412251. The reversal of 157466412240 is 42214664751.

157466412240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 157466412192 and 157466412201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483061 + ... + 740459.

It is an arithmetic number, because the mean of its divisors is an integer number (6104241000).

Almost surely, 2157466412240 is an apocalyptic number.

157466412240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157466412240 is an abundant number, since it is smaller than the sum of its proper divisors (330872867760).

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

157466412240 is a wasteful number, since it uses less digits than its factorization.

157466412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259964 (or 259958 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 157466412240 in words is "one hundred fifty-seven billion, four hundred sixty-six million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2549 5098 7647 10196 12745 15294 20392 25490 30588 38235 40784 50980 61176 76470 101960 122352 152940 203920 257399 305880 514798 611760 772197 1029596 1286995 1544394 2059192 2573990 3088788 3860985 4118384 5147980 6177576 7721970 10295960 12355152 15443940 20591920 30887880 61775760 656110051 1312220102 1968330153 2624440204 3280550255 3936660306 5248880408 6561100510 7873320612 9841650765 10497760816 13122201020 15746641224 19683301530 26244402040 31493282448 39366603060 52488804080 78733206120 157466412240