Search a number
-
+
39964225440 = 2535212939107
BaseRepresentation
bin100101001110000011…
…011010111110100000
310211011011202000000210
4211032003122332200
51123321320203230
630205340014120
72613231211536
oct451603327640
9124134660023
1039964225440
1115a48844097
1278b3b31340
1339cb838099
141d11938156
15108d7bbeb0
hex94e0dafa0

39964225440 has 96 divisors (see below), whose sum is σ = 125949660480. Its totient is φ = 10651848704.

The previous prime is 39964225397. The next prime is 39964225517. The reversal of 39964225440 is 4452246993.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 39964225440.

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 15 ways as a sum of consecutive naturals, for example, 1002367 + ... + 1041473.

It is an arithmetic number, because the mean of its divisors is an integer number (1311975630).

Almost surely, 239964225440 is an apocalyptic number.

39964225440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39964225440 is an abundant number, since it is smaller than the sum of its proper divisors (85985435040).

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

39964225440 is a wasteful number, since it uses less digits than its factorization.

39964225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41254 (or 41246 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 39964225440 in words is "thirty-nine billion, nine hundred sixty-four million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2129 4258 6387 8516 10645 12774 17032 21290 25548 31935 34064 39107 42580 51096 63870 68128 78214 85160 102192 117321 127740 156428 170320 195535 204384 234642 255480 312856 340640 391070 469284 510960 586605 625712 782140 938568 1021920 1173210 1251424 1564280 1877136 2346420 3128560 3754272 4692840 6257120 9385680 18771360 83258803 166517606 249776409 333035212 416294015 499552818 666070424 832588030 999105636 1248882045 1332140848 1665176060 1998211272 2497764090 2664281696 3330352120 3996422544 4995528180 6660704240 7992845088 9991056360 13321408480 19982112720 39964225440