Search a number
-
+
1010400042015 = 325713614044917
BaseRepresentation
bin11101011010000001000…
…10010001110000011111
310120121000111221022002100
432231000202101300133
5113023244402321030
62052101003300143
7132666440436150
oct16550042216037
93517014838070
101010400042015
1135a565534441
121439a4b1a653
1374384b10760
1436c91781927
151b4397e5360
hexeb40891c1f

1010400042015 has 96 divisors (see below), whose sum is σ = 2190857026176. Its totient is φ = 419376890880.

The previous prime is 1010400041977. The next prime is 1010400042059. The reversal of 1010400042015 is 5102400040101.

It is not a de Polignac number, because 1010400042015 - 211 = 1010400039967 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1772664 + ... + 2272253.

It is an arithmetic number, because the mean of its divisors is an integer number (22821427356).

Almost surely, 21010400042015 is an apocalyptic number.

1010400042015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1010400042015 is an abundant number, since it is smaller than the sum of its proper divisors (1180456984161).

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

1010400042015 is a wasteful number, since it uses less digits than its factorization.

1010400042015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045009 (or 4045006 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 1010400042015 its reverse (5102400040101), we get a palindrome (6112800082116).

The spelling of 1010400042015 in words is "one trillion, ten billion, four hundred million, forty-two thousand, fifteen".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 61 63 65 91 105 117 183 195 273 305 315 427 455 549 585 793 819 915 1281 1365 2135 2379 2745 3843 3965 4095 5551 6405 7137 11895 16653 19215 27755 35685 49959 83265 249795 4044917 12134751 20224585 28314419 36404253 52583921 60673755 84943257 141572095 157751763 182021265 246739937 254829771 262919605 368087447 424716285 473255289 740219811 788758815 1104262341 1233699685 1274148855 1727179559 1840437235 2220659433 2366276445 3207619181 3312787023 3701099055 5181538677 5521311705 8635897795 9622857543 11103297165 15544616031 16038095905 16563935115 22453334267 25907693385 28868572629 48114287715 67360002801 77723080155 112266671335 144342863145 202080008403 336800014005 1010400042015