Search a number
-
+
40440103777344 = 263683308382929
BaseRepresentation
bin10010011000111101100100…
…00001010011010001000000
312022012000222100211100120010
421030132302001103101000
520300032313031333334
6222001532135344520
711342462320322265
oct1114366201232100
9168160870740503
1040440103777344
1111981608346a07
124651690b22140
13197464062226b
149db45094126c
154a1e1729b0e9
hex24c7b2053440

40440103777344 has 56 divisors (see below), whose sum is σ = 107154433452960. Its totient is φ = 13460298041344.

The previous prime is 40440103777313. The next prime is 40440103777351. The reversal of 40440103777344 is 44377730104404.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 40440103777293 and 40440103777302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154060329 + ... + 154322600.

Almost surely, 240440103777344 is an apocalyptic number.

It is an amenable number.

40440103777344 is an abundant number, since it is smaller than the sum of its proper divisors (66714329675616).

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

40440103777344 is a wasteful number, since it uses less digits than its factorization.

40440103777344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308383627 (or 308383617 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 48.

The spelling of 40440103777344 in words is "forty trillion, four hundred forty billion, one hundred three million, seven hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 683 1366 2049 2732 4098 5464 8196 10928 16392 21856 32784 43712 65568 131136 308382929 616765858 925148787 1233531716 1850297574 2467063432 3700595148 4934126864 7401190296 9868253728 14802380592 19736507456 29604761184 59209522368 210625540507 421251081014 631876621521 842502162028 1263753243042 1685004324056 2527506486084 3370008648112 5055012972168 6740017296224 10110025944336 13480034592448 20220051888672 40440103777344