Search a number
-
+
40139869536 = 25321397110527
BaseRepresentation
bin100101011000100001…
…011100110101100000
310211121102020122102200
4211120201130311200
51124201301311121
630235012413200
72620463155464
oct453041346540
9124542218380
1040139869536
1116028a010a8
127942917200
133a290453c0
141d2adba4a4
15109de14a26
hex95885cd60

40139869536 has 144 divisors (see below), whose sum is σ = 124196776704. Its totient is φ = 12223291392.

The previous prime is 40139869529. The next prime is 40139869541. The reversal of 40139869536 is 63596893104.

40139869536 is a `hidden beast` number, since 4 + 0 + 13 + 98 + 6 + 9 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×401398695362 (a number of 22 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 23 ways as a sum of consecutive naturals, for example, 307905 + ... + 418431.

It is an arithmetic number, because the mean of its divisors is an integer number (862477616).

Almost surely, 240139869536 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 40139869536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62098388352).

40139869536 is an abundant number, since it is smaller than the sum of its proper divisors (84056907168).

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

40139869536 is a wasteful number, since it uses less digits than its factorization.

40139869536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110653 (or 110642 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 40139869536 in words is "forty billion, one hundred thirty-nine million, eight hundred sixty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 97 104 117 144 156 194 208 234 288 291 312 388 416 468 582 624 776 873 936 1164 1248 1261 1552 1746 1872 2328 2522 3104 3492 3744 3783 4656 5044 6984 7566 9312 10088 11349 13968 15132 20176 22698 27936 30264 40352 45396 60528 90792 110527 121056 181584 221054 331581 363168 442108 663162 884216 994743 1326324 1436851 1768432 1989486 2652648 2873702 3536864 3978972 4310553 5305296 5747404 7957944 8621106 10610592 10721119 11494808 12931659 15915888 17242212 21442238 22989616 25863318 31831776 32163357 34484424 42884476 45979232 51726636 64326714 68968848 85768952 96490071 103453272 128653428 137937696 139374547 171537904 192980142 206906544 257306856 278749094 343075808 385960284 413813088 418123641 514613712 557498188 771920568 836247282 1029227424 1114996376 1254370923 1543841136 1672494564 2229992752 2508741846 3087682272 3344989128 4459985504 5017483692 6689978256 10034967384 13379956512 20069934768 40139869536