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40134804168448 = 281131479782029
BaseRepresentation
bin10010010000000100111001…
…01111101101111100000000
312021002211221111202022010001
421020002130233231330000
520230032034331342243
6221205401405245344
711311433601422053
oct1110023457557400
9167084844668101
1040134804168448
1111874090706050
124602488863854
131951907873002
149ca76ba2aa9a
15498ee9702a4d
hex24809cbedf00

40134804168448 has 144 divisors (see below), whose sum is σ = 92134514626560. Its totient is φ = 17278974259200.

The previous prime is 40134804168427. The next prime is 40134804168457. The reversal of 40134804168448 is 84486140843104.

It is a happy number.

It is a super-2 number, since 2×401348041684482 (a number of 28 digits) contains 22 as substring.

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, 788103 + ... + 8993926.

It is an arithmetic number, because the mean of its divisors is an integer number (639823018240).

Almost surely, 240134804168448 is an apocalyptic number.

It is an amenable number.

40134804168448 is an abundant number, since it is smaller than the sum of its proper divisors (51999710458112).

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

40134804168448 is a wasteful number, since it uses less digits than its factorization.

40134804168448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9782134 (or 9782120 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 55.

The spelling of 40134804168448 in words is "forty trillion, one hundred thirty-four billion, eight hundred four million, one hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 47 62 64 88 94 124 128 176 188 248 256 341 352 376 496 517 682 704 752 992 1034 1364 1408 1457 1504 1984 2068 2728 2816 2914 3008 3968 4136 5456 5828 6016 7936 8272 10912 11656 12032 16027 16544 21824 23312 32054 33088 43648 46624 64108 66176 87296 93248 128216 132352 186496 256432 372992 512864 1025728 2051456 4102912 9782029 19564058 39128116 78256232 107602319 156512464 215204638 303242899 313024928 430409276 459755363 606485798 626049856 860818552 919510726 1212971596 1252099712 1721637104 1839021452 2425943192 2504199424 3335671889 3443274208 3678042904 4851886384 5057308993 6671343778 6886548416 7356085808 9703772768 10114617986 13342687556 13773096832 14252416253 14712171616 19407545536 20229235972 26685375112 27546193664 28504832506 29424343232 38815091072 40458471944 53370750224 57009665012 58848686464 77630182144 80916943888 106741500448 114019330024 117697372928 156776578783 161833887776 213483000896 228038660048 313553157566 323667775552 426966001792 456077320096 627106315132 647335551104 853932003584 912154640192 1254212630264 1294671102208 1824309280384 2508425260528 3648618560768 5016850521056 10033701042112 20067402084224 40134804168448