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41504314032 = 2433274934949
BaseRepresentation
bin100110101001110110…
…011001001010110000
310222010111200121102000
4212221312121022300
51140000101022112
631022233254000
72666341563666
oct465166311260
9128114617360
1041504314032
1116669115485
128063864300
133bb59252cc
14201a2b4c36
15112dad47dc
hex9a9d992b0

41504314032 has 80 divisors (see below), whose sum is σ = 119179500000. Its totient is φ = 13829342976.

The previous prime is 41504314021. The next prime is 41504314037. The reversal of 41504314032 is 23041340514.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41504313987 and 41504314005.

It is not an unprimeable number, because it can be changed into a prime (41504314037) by changing a digit.

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, 1170094 + ... + 1205042.

It is an arithmetic number, because the mean of its divisors is an integer number (1489743750).

Almost surely, 241504314032 is an apocalyptic number.

It is an amenable number.

41504314032 is an abundant number, since it is smaller than the sum of its proper divisors (77675185968).

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

41504314032 is a wasteful number, since it uses less digits than its factorization.

41504314032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37715 (or 37703 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 41504314032 its reverse (23041340514), we get a palindrome (64545654546).

The spelling of 41504314032 in words is "forty-one billion, five hundred four million, three hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2749 5498 8247 10996 16494 21992 24741 32988 34949 43984 49482 65976 69898 74223 98964 104847 131952 139796 148446 197928 209694 279592 296892 314541 395856 419388 559184 593784 629082 838776 943623 1187568 1258164 1677552 1887246 2516328 3774492 5032656 7548984 15097968 96074801 192149602 288224403 384299204 576448806 768598408 864673209 1152897612 1537196816 1729346418 2305795224 2594019627 3458692836 4611590448 5188039254 6917385672 10376078508 13834771344 20752157016 41504314032