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131419605360 = 2435618976749
BaseRepresentation
bin111101001100100111…
…0000000100101110000
3110120012212011200002010
41322121032000211300
54123121404332420
6140212350122520
712331462133331
oct1723116004560
9416185150063
10131419605360
1150809a396aa
12215781b0440
13c515028bc4
146509c42288
1536427cc4e0
hex1e99380970

131419605360 has 80 divisors (see below), whose sum is σ = 414079524000. Its totient is φ = 34470712320.

The previous prime is 131419605293. The next prime is 131419605413. The reversal of 131419605360 is 63506914131.

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

It is a super-2 number, since 2×1314196053602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4473735 + ... + 4503014.

It is an arithmetic number, because the mean of its divisors is an integer number (5175994050).

Almost surely, 2131419605360 is an apocalyptic number.

131419605360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131419605360 is an abundant number, since it is smaller than the sum of its proper divisors (282659918640).

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

131419605360 is a wasteful number, since it uses less digits than its factorization.

131419605360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8976826 (or 8976820 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 131419605360 in words is "one hundred thirty-one billion, four hundred nineteen million, six hundred five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 7320 14640 8976749 17953498 26930247 35906996 44883745 53860494 71813992 89767490 107720988 134651235 143627984 179534980 215441976 269302470 359069960 430883952 538604940 547581689 718139920 1077209880 1095163378 1642745067 2154419760 2190326756 2737908445 3285490134 4380653512 5475816890 6570980268 8213725335 8761307024 10951633780 13141960536 16427450670 21903267560 26283921072 32854901340 43806535120 65709802680 131419605360