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131434450320 = 2435618977763
BaseRepresentation
bin111101001101000011…
…0101000110110010000
3110120020220002212112110
41322122012220312100
54123134204402240
6140214040225320
712332032252155
oct1723206506620
9416226085473
10131434450320
1150817358968
122158116b240
13c518125ac4
14650bbc822c
153643c60c80
hex1e9a1a8d90

131434450320 has 80 divisors (see below), whose sum is σ = 414126297792. Its totient is φ = 34474606080.

The previous prime is 131434450319. The next prime is 131434450333. The reversal of 131434450320 is 23054434131.

131434450320 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 Harshad number since it is a multiple of its sum of digits (30).

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, 4474242 + ... + 4503521.

Almost surely, 2131434450320 is an apocalyptic number.

131434450320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131434450320 is an abundant number, since it is smaller than the sum of its proper divisors (282691847472).

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

131434450320 is a wasteful number, since it uses less digits than its factorization.

131434450320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8977840 (or 8977834 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 131434450320 its reverse (23054434131), we get a palindrome (154488884451).

The spelling of 131434450320 in words is "one hundred thirty-one billion, four hundred thirty-four million, four hundred fifty thousand, three hundred twenty".

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 8977763 17955526 26933289 35911052 44888815 53866578 71822104 89777630 107733156 134666445 143644208 179555260 215466312 269332890 359110520 430932624 538665780 547643543 718221040 1077331560 1095287086 1642930629 2154663120 2190574172 2738217715 3285861258 4381148344 5476435430 6571722516 8214653145 8762296688 10952870860 13143445032 16429306290 21905741720 26286890064 32858612580 43811483440 65717225160 131434450320