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3140400432330 = 2325719792518829
BaseRepresentation
bin101101101100101110011…
…100111100010011001010
3102010012220220110020002100
4231230232130330103022
5402423020002313310
610402402520014230
7442613023145430
oct55545634742312
912105826406070
103140400432330
1110009221a0627
12428769901376
1319a1a53551b5
14abdd379cd50
1556a506b1ec0
hex2db2e73c4ca

3140400432330 has 96 divisors (see below), whose sum is σ = 9336194524800. Its totient is φ = 717442816896.

The previous prime is 3140400432329. The next prime is 3140400432427. The reversal of 3140400432330 is 332340040413.

It is a super-2 number, since 2×31404004323302 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3140400432294 and 3140400432303.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12645 + ... + 2506184.

It is an arithmetic number, because the mean of its divisors is an integer number (97252026300).

Almost surely, 23140400432330 is an apocalyptic number.

3140400432330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3140400432330 is an abundant number, since it is smaller than the sum of its proper divisors (6195794092470).

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

3140400432330 is a wasteful number, since it uses less digits than its factorization.

3140400432330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520828 (or 2520825 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 3140400432330 its reverse (332340040413), we get a palindrome (3472740472743).

The spelling of 3140400432330 in words is "three trillion, one hundred forty billion, four hundred million, four hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1979 3958 5937 9895 11874 13853 17811 19790 27706 29685 35622 41559 59370 69265 83118 89055 124677 138530 178110 207795 249354 415590 623385 1246770 2518829 5037658 7556487 12594145 15112974 17631803 22669461 25188290 35263606 37782435 45338922 52895409 75564870 88159015 105790818 113347305 158686227 176318030 226694610 264477045 317372454 528954090 793431135 1586862270 4984762591 9969525182 14954287773 24923812955 29908575546 34893338137 44862863319 49847625910 69786676274 74771438865 89725726638 104680014411 149542877730 174466690685 209360028822 224314316595 314040043233 348933381370 448628633190 523400072055 628080086466 1046800144110 1570200216165 3140400432330