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14041552640 = 28535930557
BaseRepresentation
bin11010001001111000…
…10001011100000000
31100020120122210002012
431010330101130000
5212224114141030
610241155112052
71004651141153
oct150474213400
940216583065
1014041552640
115a560aa365
12287a5a2628
13142a0ca33b
14972c11c9a
15572ae0095
hex344f11700

14041552640 has 72 divisors (see below), whose sum is σ = 33728698080. Its totient is φ = 5600792576.

The previous prime is 14041552627. The next prime is 14041552699. The reversal of 14041552640 is 4625514041.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 14041552597 and 14041552606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444242 + ... + 474798.

It is an arithmetic number, because the mean of its divisors is an integer number (468454140).

Almost surely, 214041552640 is an apocalyptic number.

14041552640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14041552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16864349040).

14041552640 is an abundant number, since it is smaller than the sum of its proper divisors (19687145440).

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

14041552640 is an equidigital number, since it uses as much as digits as its factorization.

14041552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30937 (or 30923 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 14041552640 in words is "fourteen billion, forty-one million, five hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 359 640 718 1280 1436 1795 2872 3590 5744 7180 11488 14360 22976 28720 30557 45952 57440 61114 91904 114880 122228 152785 229760 244456 305570 459520 488912 611140 977824 1222280 1955648 2444560 3911296 4889120 7822592 9778240 10969963 19556480 21939926 39112960 43879852 54849815 87759704 109699630 175519408 219399260 351038816 438798520 702077632 877597040 1404155264 1755194080 2808310528 3510388160 7020776320 14041552640