Search a number
-
+
312000411400002 = 232133061435588073
BaseRepresentation
bin100011011110000110100000…
…1101100001111011101000010
31111220200221121010010222100200
41012330031001230033131002
5311343303320304300002
63023323002120030030
7122501200022364363
oct10674150154173502
91456627533128320
10312000411400002
119045a6a4446226
122abab92a602316
13105126880c7b50
145708c86d05b6a
152610ca7945b1c
hex11bc341b0f742

312000411400002 has 48 divisors (see below), whose sum is σ = 728238792693048. Its totient is φ = 95968764023040.

The previous prime is 312000411399931. The next prime is 312000411400019. The reversal of 312000411400002 is 200004114000213.

It can be written as a sum of positive squares in 4 ways, for example, as 196486689751641 + 115513721648361 = 14017371^2 + 10747731^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217077763 + ... + 218510310.

Almost surely, 2312000411400002 is an apocalyptic number.

312000411400002 is an abundant number, since it is smaller than the sum of its proper divisors (416238381293046).

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

312000411400002 is a wasteful number, since it uses less digits than its factorization.

312000411400002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435591155 (or 435591152 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 312000411400002 its reverse (200004114000213), we get a palindrome (512004525400215).

The spelling of 312000411400002 in words is "three hundred twelve trillion, four hundred eleven million, four hundred thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 3061 6122 9183 18366 27549 39793 55098 79586 119379 238758 358137 716274 435588073 871176146 1306764219 2613528438 3920292657 5662644949 7840585314 11325289898 16987934847 33975869694 50963804541 101927609082 1333335091453 2666670182906 4000005274359 8000010548718 12000015823077 17333356188889 24000031646154 34666712377778 52000068566667 104000137133334 156000205700001 312000411400002