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1390253391261 = 33721961906673
BaseRepresentation
bin10100001110110001100…
…011110011110110011101
311220220111011000202211000
4110032301203303312131
5140234214332010021
62542401255020513
7202304526563100
oct24166143636635
94826434022730
101390253391261
1149666a882949
121a553506a739
13a113c578877
144b407da6737
152626c655b26
hex143b18f3d9d

1390253391261 has 96 divisors (see below), whose sum is σ = 2563348732800. Its totient is φ = 740279554560.

The previous prime is 1390253391221. The next prime is 1390253391347. The reversal of 1390253391261 is 1621933520931.

1390253391261 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 2 + 533 + 91 + 26 + 1 = 666.

It is not a de Polignac number, because 1390253391261 - 210 = 1390253390237 is a prime.

It is a super-2 number, since 2×13902533912612 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390253391211) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1080021 + ... + 1986693.

It is an arithmetic number, because the mean of its divisors is an integer number (26701549300).

Almost surely, 21390253391261 is an apocalyptic number.

It is an amenable number.

1390253391261 is a deficient number, since it is larger than the sum of its proper divisors (1173095341539).

1390253391261 is a wasteful number, since it uses less digits than its factorization.

1390253391261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906776 (or 906763 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 1390253391261 in words is "one trillion, three hundred ninety billion, two hundred fifty-three million, three hundred ninety-one thousand, two hundred sixty-one".

Divisors: 1 3 7 9 19 21 27 49 57 61 63 133 147 171 183 189 399 427 441 513 549 931 1159 1197 1281 1323 1647 2793 2989 3477 3591 3843 8113 8379 8967 10431 11529 24339 25137 26901 31293 56791 73017 80703 170373 219051 511119 906673 1533357 2720019 6346711 8160057 17226787 19040133 24480171 44426977 51680361 55307053 57120399 120587509 133280931 155041083 165921159 171361197 361762527 387149371 399842793 465123249 497763477 844112563 1050834007 1085287581 1161448113 1199528379 1493290431 2532337689 2710045597 3152502021 3255862743 3484344339 7355838049 7597013067 8130136791 9457506063 10453033017 22067514147 22791039201 24390410373 28372518189 51490866343 66202542441 73171231119 154472599029 198607627323 463417797087 1390253391261