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134331316320 = 25351914729311
BaseRepresentation
bin111110100011011000…
…1010011100001100000
3110211201210001220121210
41331012301103201200
54200102304110240
6141413322150120
712463566230505
oct1750661234140
9424653056553
10134331316320
1151a735871a3
122204b352340
13c88a33a1b6
1467048254ac
153763231780
hex1f46c53860

134331316320 has 96 divisors (see below), whose sum is σ = 445414394880. Its totient is φ = 33936330240.

The previous prime is 134331316291. The next prime is 134331316349. The reversal of 134331316320 is 23613133431.

It is an interprime number because it is at equal distance from previous prime (134331316291) and next prime (134331316349).

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 7355536 + ... + 7373775.

It is an arithmetic number, because the mean of its divisors is an integer number (4639733280).

Almost surely, 2134331316320 is an apocalyptic number.

134331316320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134331316320 is an abundant number, since it is smaller than the sum of its proper divisors (311083078560).

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

134331316320 is a wasteful number, since it uses less digits than its factorization.

134331316320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14729348 (or 14729340 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 134331316320 its reverse (23613133431), we get a palindrome (157944449751).

The spelling of 134331316320 in words is "one hundred thirty-four billion, three hundred thirty-one million, three hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 14729311 29458622 44187933 58917244 73646555 88375866 117834488 147293110 176751732 220939665 235668976 279856909 294586220 353503464 441879330 471337952 559713818 589172440 707006928 839570727 883758660 1119427636 1178344880 1399284545 1414013856 1679141454 1767517320 2238855272 2356689760 2798569090 3358282908 3535034640 4197853635 4477710544 5597138180 6716565816 7070069280 8395707270 8955421088 11194276360 13433131632 16791414540 22388552720 26866263264 33582829080 44777105440 67165658160 134331316320