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40253869574064 = 24323111287798923
BaseRepresentation
bin10010010011100010101011…
…00110001100011110110000
312021112020021101022121010200
421021301111212030132300
520234004411102332224
6221340212234155200
711323150261603356
oct1111612546143660
9167466241277120
1040253869574064
111190a62aa5a613
124621577582b00
13195cc01240743
149d2424bad7d6
1549c1675e65c9
hex249c5598c7b0

40253869574064 has 120 divisors (see below), whose sum is σ = 116299405028352. Its totient is φ = 12983952516480.

The previous prime is 40253869574063. The next prime is 40253869574071. The reversal of 40253869574064 is 46047596835204.

40253869574064 is a `hidden beast` number, since 4 + 0 + 2 + 53 + 8 + 6 + 9 + 574 + 0 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40253869573992 and 40253869574010.

It is not an unprimeable number, because it can be changed into a prime (40253869574063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49985707 + ... + 50784629.

Almost surely, 240253869574064 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 40253869574064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58149702514176).

40253869574064 is an abundant number, since it is smaller than the sum of its proper divisors (76045535454288).

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

40253869574064 is a wasteful number, since it uses less digits than its factorization.

40253869574064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810255 (or 810246 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 40253869574064 in words is "forty trillion, two hundred fifty-three billion, eight hundred sixty-nine million, five hundred seventy-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 11287 22574 33861 45148 67722 90296 101583 135444 180592 203166 270888 349897 406332 541776 699794 798923 812664 1049691 1399588 1597846 1625328 2099382 2396769 2799176 3149073 3195692 4198764 4793538 5598352 6298146 6391384 7190307 8397528 9587076 12596292 12782768 14380614 16795056 19174152 24766613 25192584 28761228 38348304 49533226 50385168 57522456 74299839 99066452 115044912 148599678 198132904 222899517 297199356 396265808 445799034 594398712 891598068 1188797424 1783196136 3566392272 9017443901 18034887802 27052331703 36069775604 54104663406 72139551208 81156995109 108209326812 144279102416 162313990218 216418653624 279540760931 324627980436 432837307248 559081521862 649255960872 838622282793 1118163043724 1298511921744 1677244565586 2236326087448 2515866848379 3354489131172 4472652174896 5031733696758 6708978262344 10063467393516 13417956524688 20126934787032 40253869574064