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73251214040 = 23571181142501
BaseRepresentation
bin100010000111000011…
…1001101001011011000
321000002000002020002102
41010032013031023120
52200004302322130
653352351422532
75202143021534
oct1041607151330
9230060066072
1073251214040
112907a445324
1212243824a48
136ba4ba8044
14378c732bc4
151d8ac78645
hex110e1cd2d8

73251214040 has 64 divisors (see below), whose sum is σ = 168061158720. Its totient is φ = 28728000000.

The previous prime is 73251213991. The next prime is 73251214067. The reversal of 73251214040 is 4041215237.

It is a junction number, because it is equal to n+sod(n) for n = 73251213994 and 73251214012.

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, 442790 + ... + 585290.

It is an arithmetic number, because the mean of its divisors is an integer number (2625955605).

Almost surely, 273251214040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73251214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84030579360).

73251214040 is an abundant number, since it is smaller than the sum of its proper divisors (94809944680).

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

73251214040 is a wasteful number, since it uses less digits than its factorization.

73251214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142764 (or 142760 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

Adding to 73251214040 its reverse (4041215237), we get a palindrome (77292429277).

The spelling of 73251214040 in words is "seventy-three billion, two hundred fifty-one million, two hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 181 284 355 362 568 710 724 905 1420 1448 1810 2840 3620 7240 12851 25702 51404 64255 102808 128510 142501 257020 285002 514040 570004 712505 1140008 1425010 2850020 5700040 10117571 20235142 25792681 40470284 50587855 51585362 80940568 101175710 103170724 128963405 202351420 206341448 257926810 404702840 515853620 1031707240 1831280351 3662560702 7325121404 9156401755 14650242808 18312803510 36625607020 73251214040