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253120014434 = 2747738959209
BaseRepresentation
bin1110101110111100100…
…0001110100001100010
3220012100100222000022102
43223233020032201202
513121342210430214
6312140504210402
724200356423520
oct3535710164142
9805310860272
10253120014434
1198390716281
1241081469a02
131ab3b5a3a91
14c372d39310
1568b6bb7bde
hex3aef20e862

253120014434 has 64 divisors (see below), whose sum is σ = 454278067200. Its totient is φ = 103539161088.

The previous prime is 253120014383. The next prime is 253120014451. The reversal of 253120014434 is 434410021352.

253120014434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 253120014397 and 253120014406.

It is an unprimeable number.

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, 4245422 + ... + 4304630.

It is an arithmetic number, because the mean of its divisors is an integer number (7098094800).

Almost surely, 2253120014434 is an apocalyptic number.

253120014434 is a deficient number, since it is larger than the sum of its proper divisors (201158052766).

253120014434 is a wasteful number, since it uses less digits than its factorization.

253120014434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59427.

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 253120014434 its reverse (434410021352), we get a palindrome (687530035786).

The spelling of 253120014434 in words is "two hundred fifty-three billion, one hundred twenty million, fourteen thousand, four hundred thirty-four".

Divisors: 1 2 7 14 47 73 89 94 146 178 329 511 623 658 1022 1246 3431 4183 6497 6862 8366 12994 24017 29281 45479 48034 58562 59209 90958 118418 305359 414463 610718 828926 2137513 2782823 4275026 4322257 5269601 5565646 8644514 10539202 19479761 30255799 36887207 38959522 60511598 73774414 203146079 247671247 384680873 406292158 495342494 769361746 1422022553 1733698729 2692766111 2844045106 3467397458 5385532222 18080001031 36160002062 126560007217 253120014434