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40108412383728 = 2431368777934561
BaseRepresentation
bin10010001111010011101111…
…01011000011000111110000
312021000022211012221201120220
421013221313223003013300
520224114012032234403
6221145314505533040
711306510564102223
oct1107516753030760
9167008735851526
1040108412383728
1111863978191617
1245b93421a4180
13194c28cba6450
149c93868ad5ba
154984a275e953
hex247a77ac31f0

40108412383728 has 80 divisors (see below), whose sum is σ = 111585401889696. Its totient is φ = 12340857323520.

The previous prime is 40108412383693. The next prime is 40108412383807. The reversal of 40108412383728 is 82738321480104.

It is a happy number.

It is a super-3 number, since 3×401084123837283 (a number of 42 digits) contains 333 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, 42449568 + ... + 43384128.

Almost surely, 240108412383728 is an apocalyptic number.

40108412383728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40108412383728 is an abundant number, since it is smaller than the sum of its proper divisors (71476989505968).

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

40108412383728 is a wasteful number, since it uses less digits than its factorization.

40108412383728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003362 (or 1003356 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 40108412383728 in words is "forty trillion, one hundred eight billion, four hundred twelve million, three hundred eighty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 68777 137554 206331 275108 412662 550216 825324 894101 934561 1100432 1650648 1788202 1869122 2682303 2803683 3301296 3576404 3738244 5364606 5607366 7152808 7476488 10729212 11214732 12149293 14305616 14952976 21458424 22429464 24298586 36447879 42916848 44858928 48597172 72895758 97194344 145791516 194388688 291583032 583166064 64276301897 128552603794 192828905691 257105207588 385657811382 514210415176 771315622764 835591924661 1028420830352 1542631245528 1671183849322 2506775773983 3085262491056 3342367698644 5013551547966 6684735397288 10027103095932 13369470794576 20054206191864 40108412383728