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1342642026656 = 257191312408171
BaseRepresentation
bin10011100010011011101…
…100110111100010100000
311202100121000211211221202
4103202123230313202200
5133444212324323111
62504445022140332
7166000630631660
oct23423354674240
94670530754852
101342642026656
1147845846aa37
121982681216a8
13997c2645a88
1448dac9b81a0
1524dd283eb3b
hex1389bb378a0

1342642026656 has 96 divisors (see below), whose sum is σ = 3204217336320. Its totient is φ = 540971308800.

The previous prime is 1342642026653. The next prime is 1342642026659. The reversal of 1342642026656 is 6566202462431.

It is an interprime number because it is at equal distance from previous prime (1342642026653) and next prime (1342642026659).

It is a super-2 number, since 2×13426420266562 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1342642026656.

It is not an unprimeable number, because it can be changed into a prime (1342642026653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646550 + ... + 1761621.

It is an arithmetic number, because the mean of its divisors is an integer number (33377263920).

Almost surely, 21342642026656 is an apocalyptic number.

1342642026656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1342642026656 is an abundant number, since it is smaller than the sum of its proper divisors (1861575309664).

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

1342642026656 is a wasteful number, since it uses less digits than its factorization.

1342642026656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408338 (or 2408330 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 47.

The spelling of 1342642026656 in words is "one trillion, three hundred forty-two billion, six hundred forty-two million, twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 131 133 152 224 262 266 304 524 532 608 917 1048 1064 1834 2096 2128 2489 3668 4192 4256 4978 7336 9956 14672 17423 19912 29344 34846 39824 69692 79648 139384 278768 557536 2408171 4816342 9632684 16857197 19265368 33714394 38530736 45755249 67428788 77061472 91510498 134857576 183020996 269715152 315470401 320286743 366041992 539430304 630940802 640573486 732083984 1261881604 1281146972 1464167968 2208292807 2523763208 2562293944 4416585614 5047526416 5124587888 5993937619 8833171228 10095052832 10249175776 11987875238 17666342456 23975750476 35332684912 41957563333 47951500952 70665369824 83915126666 95903001904 167830253332 191806003808 335660506664 671321013328 1342642026656