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134435256622320 = 2435737673245241
BaseRepresentation
bin11110100100010010100101…
…101101110101110011110000
3122121222212220011211100021110
4132210102211231311303300
5120110041401143403240
61153530412043553320
740213424661025143
oct3644224555656360
9577885804740243
10134435256622320
1139920743709395
12130b255352b840
135a02262133644
14252a9b5ccc05a
151081e822bdc80
hex7a44a5b75cf0

134435256622320 has 80 divisors (see below), whose sum is σ = 422458190043552. Its totient is φ = 35358314065920.

The previous prime is 134435256622319. The next prime is 134435256622349. The reversal of 134435256622320 is 23226652534431.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 134435256622320.

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, 3836605101 + ... + 3836640140.

Almost surely, 2134435256622320 is an apocalyptic number.

134435256622320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134435256622320 is an abundant number, since it is smaller than the sum of its proper divisors (288022933421232).

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

134435256622320 is a wasteful number, since it uses less digits than its factorization.

134435256622320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7673245330 (or 7673245324 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 48.

The spelling of 134435256622320 in words is "one hundred thirty-four trillion, four hundred thirty-five billion, two hundred fifty-six million, six hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 5840 8760 17520 7673245241 15346490482 23019735723 30692980964 38366226205 46039471446 61385961928 76732452410 92078942892 115098678615 122771923856 153464904820 184157885784 230197357230 306929809640 368315771568 460394714460 560146902593 613859619280 920789428920 1120293805186 1680440707779 1841578857840 2240587610372 2800734512965 3360881415558 4481175220744 5601469025930 6721762831116 8402203538895 8962350441488 11202938051860 13443525662232 16804407077790 22405876103720 26887051324464 33608814155580 44811752207440 67217628311160 134435256622320