Search a number
-
+
400161336272 = 242941181251463
BaseRepresentation
bin1011101001010110111…
…10010110101111010000
31102020212221011002202022
411310223132112233100
523024012300230042
6503455342111012
740624241144105
oct5645336265720
91366787132668
10400161336272
11144786707765
126567927b468
132b972ba90a9
141552179caac
15a620b66cd2
hex5d2b796bd0

400161336272 has 160 divisors (see below), whose sum is σ = 831231797760. Its totient is φ = 186278400000.

The previous prime is 400161336233. The next prime is 400161336283. The reversal of 400161336272 is 272633161004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 864279113 + ... + 864279575.

It is an arithmetic number, because the mean of its divisors is an integer number (5195198736).

Almost surely, 2400161336272 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 400161336272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415615898880).

400161336272 is an abundant number, since it is smaller than the sum of its proper divisors (431070461488).

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

400161336272 is a wasteful number, since it uses less digits than its factorization.

400161336272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

Adding to 400161336272 its reverse (272633161004), we get a palindrome (672794497276).

The spelling of 400161336272 in words is "four hundred billion, one hundred sixty-one million, three hundred thirty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 29 41 58 82 116 164 181 232 251 328 362 463 464 502 656 724 926 1004 1189 1448 1852 2008 2378 2896 3704 4016 4756 5249 7279 7408 7421 9512 10291 10498 13427 14558 14842 18983 19024 20582 20996 26854 29116 29684 37966 41164 41992 45431 53708 58232 59368 75932 82328 83803 83984 90862 107416 116213 116464 118736 151864 164656 167606 181724 214832 215209 232426 298439 303728 335212 363448 430418 464852 550507 596878 670424 726896 860836 929704 1101014 1193756 1317499 1340848 1721672 1859408 1862671 2202028 2387512 2430287 2634998 3370177 3435923 3443344 3725342 4404056 4764733 4775024 4860574 5269996 6740354 6871846 7450684 8808112 9529466 9721148 10539992 13480708 13743692 14901368 19058932 19442296 21034553 21079984 26961416 27487384 29802736 38117864 38884592 42069106 53922832 54017459 54974768 76235728 84138212 99641767 108034918 138177257 168276424 199283534 216069836 276354514 336552848 398567068 432139672 552709028 610002037 797134136 862416673 864279344 1105418056 1220004074 1594268272 1724833346 2210836112 2440008148 3449666692 4880016296 6899333384 9760032592 13798666768 25010083517 50020167034 100040334068 200080668136 400161336272