Search a number
-
+
40243214616 = 233114316972089
BaseRepresentation
bin100101011110101011…
…101011100100011000
310211212121201010020020
4211132223223210120
51124404230331431
630253143430440
72623156452213
oct453653534430
9124777633206
1040243214616
1116081277860
127971455420
133a4458a637
141d3a9dc77a
1510a802a696
hex95eaeb918

40243214616 has 128 divisors (see below), whose sum is σ = 112426617600. Its totient is φ = 11898593280.

The previous prime is 40243214593. The next prime is 40243214617. The reversal of 40243214616 is 61641234204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40243214617) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19263300 + ... + 19265388.

It is an arithmetic number, because the mean of its divisors is an integer number (878332950).

Almost surely, 240243214616 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 40243214616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56213308800).

40243214616 is an abundant number, since it is smaller than the sum of its proper divisors (72183402984).

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

40243214616 is a wasteful number, since it uses less digits than its factorization.

40243214616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 40243214616 in words is "forty billion, two hundred forty-three million, two hundred fourteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1697 1892 2089 2838 3394 3784 4178 5091 5676 6267 6788 8356 10182 11352 12534 13576 16712 18667 20364 22979 25068 37334 40728 45958 50136 56001 68937 72971 74668 89827 91916 112002 137874 145942 149336 179654 183832 218913 224004 269481 275748 291884 359308 437826 448008 538962 551496 583768 718616 802681 875652 988097 1077924 1605362 1751304 1976194 2155848 2408043 2964291 3210724 3545033 3952388 4816086 5928582 6421448 7090066 7904776 9632172 10635099 11857164 14180132 19264344 21270198 23714328 28360264 38995363 42540396 77990726 85080792 116986089 152436419 155981452 233972178 304872838 311962904 457309257 467944356 609745676 914618514 935888712 1219491352 1676800609 1829237028 3353601218 3658474056 5030401827 6707202436 10060803654 13414404872 20121607308 40243214616