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40521646014040 = 23517592393422069
BaseRepresentation
bin10010011011010101011100…
…10100001111111001011000
312022110211110011221011120201
421031222232110033321120
520302401312334422130
6222103215344431544
711351410110023632
oct1115525624177130
9168424404834521
1040521646014040
1111a03151861274
1246654493185b4
13197c237116c69
14a01388455a52
154a40dad58bca
hex24daae50fe58

40521646014040 has 128 divisors (see below), whose sum is σ = 98214338376000. Its totient is φ = 14990342668288.

The previous prime is 40521646014029. The next prime is 40521646014043. The reversal of 40521646014040 is 4041064612504.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40521646014043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95796126 + ... + 96218194.

Almost surely, 240521646014040 is an apocalyptic number.

40521646014040 is a gapful number since it is divisible by the number (40) 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 40521646014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49107169188000).

40521646014040 is an abundant number, since it is smaller than the sum of its proper divisors (57692692361960).

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

40521646014040 is a wasteful number, since it uses less digits than its factorization.

40521646014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424549 (or 424545 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 40521646014040 in words is "forty trillion, five hundred twenty-one billion, six hundred forty-six million, fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 59 68 85 118 136 170 236 295 340 472 590 680 1003 1180 2006 2360 2393 4012 4786 5015 8024 9572 10030 11965 19144 20060 23930 40120 40681 47860 81362 95720 141187 162724 203405 282374 325448 406810 422069 564748 705935 813620 844138 1129496 1411870 1627240 1688276 2110345 2400179 2823740 3376552 4220690 4800358 5647480 7175173 8441380 9600716 12000895 14350346 16882760 19201432 24001790 24902071 28700692 35875865 48003580 49804142 57401384 71751730 96007160 99608284 124510355 143503460 199216568 249020710 287006920 423335207 498041420 846670414 996082840 1010011117 1693340828 2020022234 2116676035 3386681656 4040044468 4233352070 5050055585 8080088936 8466704140 10100111170 16933408280 17170188989 20200222340 34340377978 40400444680 59590655903 68680755956 85850944945 119181311806 137361511912 171701889890 238362623612 297953279515 343403779780 476725247224 595906559030 686807559560 1013041150351 1191813118060 2026082300702 2383626236120 4052164601404 5065205751755 8104329202808 10130411503510 20260823007020 40521646014040