Search a number
-
+
252010400042414 = 21329974637442081
BaseRepresentation
bin111001010011001110111110…
…010111111100110110101110
31020001021221220002011001211102
4321103032332113330312232
5231012414244402324124
62251551551324523102
7104040102433325246
oct7123167627746656
91201257802131742
10252010400042414
1173331012a20aa2
12243213790b0492
13aa8062ba8b370
144633523016b26
151e2057ec5aaae
hexe533be5fcdae

252010400042414 has 64 divisors (see below), whose sum is σ = 426392004407040. Its totient is φ = 110903900405760.

The previous prime is 252010400042339. The next prime is 252010400042431. The reversal of 252010400042414 is 414240004010252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30141854 + ... + 37583934.

It is an arithmetic number, because the mean of its divisors is an integer number (6662375068860).

Almost surely, 2252010400042414 is an apocalyptic number.

252010400042414 is a deficient number, since it is larger than the sum of its proper divisors (174381604364626).

252010400042414 is a wasteful number, since it uses less digits than its factorization.

252010400042414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7442685.

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 252010400042414 its reverse (414240004010252), we get a palindrome (666250404052666).

The spelling of 252010400042414 in words is "two hundred fifty-two trillion, ten billion, four hundred million, forty-two thousand, four hundred fourteen".

Divisors: 1 2 13 26 29 58 97 194 377 463 754 926 1261 2522 2813 5626 6019 12038 13427 26854 36569 44911 73138 89822 174551 349102 583843 1167686 1302419 2604838 7442081 14884162 16931447 33862894 96747053 193494106 215820349 431640698 721881857 1443763714 2805664537 3445683503 5611329074 6891367006 9384464141 18768928282 20934573853 41869147706 44793885539 89587771078 99924821587 199849643174 272149460089 334231299791 544298920178 668462599582 1299022680631 2598045361262 4345006897283 8690013794566 9692707693939 19385415387878 126005200021207 252010400042414