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1340405151030 = 2325112909465433
BaseRepresentation
bin10011100000010110010…
…111110111010100110110
311202010211010202210110100
4103200112113313110312
5133430122204313110
62503435034134530
7165561326536461
oct23402627672466
94663733683410
101340405151030
1147750a8441a0
12197942b81446
13995270a2a2a
1448c3989c2d8
1524d0128bbc0
hex138165f7536

1340405151030 has 96 divisors (see below), whose sum is σ = 3803191535520. Its totient is φ = 324834301440.

The previous prime is 1340405151011. The next prime is 1340405151049. The reversal of 1340405151030 is 301515040431.

It is a happy number.

1340405151030 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 40 + 515 + 103 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1340405151011) and next prime (1340405151049).

It is a super-2 number, since 2×13404051510302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1340405150985 and 1340405151003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2647194 + ... + 3112626.

It is an arithmetic number, because the mean of its divisors is an integer number (39616578495).

Almost surely, 21340405151030 is an apocalyptic number.

1340405151030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1340405151030 is an abundant number, since it is smaller than the sum of its proper divisors (2462786384490).

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

1340405151030 is a wasteful number, since it uses less digits than its factorization.

1340405151030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468366 (or 468363 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 1340405151030 in words is "one trillion, three hundred forty billion, four hundred five million, one hundred fifty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2909 5818 8727 14545 17454 26181 29090 31999 43635 52362 63998 87270 95997 130905 159995 191994 261810 287991 319990 465433 479985 575982 930866 959970 1396299 1439955 2327165 2792598 2879910 4188897 4654330 5119763 6981495 8377794 10239526 13962990 15359289 20944485 25598815 30718578 41888970 46077867 51197630 76796445 92155734 153592890 230389335 460778670 1353944597 2707889194 4061833791 6769722985 8123667582 12185501373 13539445970 14893390567 20309168955 24371002746 29786781134 40618337910 44680171701 60927506865 74466952835 89360343402 121855013730 134040515103 148933905670 223400858505 268081030206 446801717010 670202575515 1340405151030