Search a number
-
+
40197565152 = 25321723356969
BaseRepresentation
bin100101011011111101…
…100010101011100000
310211202102210212221100
4211123331202223200
51124311034041102
630244433154400
72622063444333
oct453375425340
9124672725840
1040197565152
1116058528728
12795a0bba00
133a37c96514
141d3491861a
1510a400ea1c
hex95bf62ae0

40197565152 has 144 divisors (see below), whose sum is σ = 126298841760. Its totient is φ = 12062662656.

The previous prime is 40197565141. The next prime is 40197565183. The reversal of 40197565152 is 25156579104.

It is a happy number.

40197565152 is a `hidden beast` number, since 40 + 1 + 97 + 5 + 6 + 515 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40197565098 and 40197565107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65877 + ... + 291092.

It is an arithmetic number, because the mean of its divisors is an integer number (877075290).

Almost surely, 240197565152 is an apocalyptic number.

It is an amenable number.

40197565152 is an abundant number, since it is smaller than the sum of its proper divisors (86101276608).

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

40197565152 is a wasteful number, since it uses less digits than its factorization.

40197565152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357025 (or 357014 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 40197565152 in words is "forty billion, one hundred ninety-seven million, five hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 32 34 36 46 48 51 68 69 72 92 96 102 136 138 144 153 184 204 207 272 276 288 306 368 391 408 414 544 552 612 736 782 816 828 1104 1173 1224 1564 1632 1656 2208 2346 2448 3128 3312 3519 4692 4896 6256 6624 7038 9384 12512 14076 18768 28152 37536 56304 112608 356969 713938 1070907 1427876 2141814 2855752 3212721 4283628 5711504 6068473 6425442 8210287 8567256 11423008 12136946 12850884 16420574 17134512 18205419 24273892 24630861 25701768 32841148 34269024 36410838 48547784 49261722 51403536 54616257 65682296 72821676 73892583 97095568 98523444 102807072 109232514 131364592 139574879 145643352 147785166 194191136 197046888 218465028 262729184 279149758 291286704 295570332 394093776 418724637 436930056 558299516 582573408 591140664 788187552 837449274 873860112 1116599032 1182281328 1256173911 1674898548 1747720224 2233198064 2364562656 2512347822 3349797096 4466396128 5024695644 6699594192 10049391288 13399188384 20098782576 40197565152