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1410312342012 = 2237831088318587
BaseRepresentation
bin10100100001011101001…
…010101000100111111100
311222211021002111001021220
4110201131022220213330
5141101304424421022
62555515531553340
7203614566054060
oct24413512504774
94884232431256
101410312342012
114a41236064a2
121a93b28bb850
13a2cb82239b2
144c38c035aa0
1526a4366885c
hex1485d2a89fc

1410312342012 has 96 divisors (see below), whose sum is σ = 3806698678272. Its totient is φ = 398033612736.

The previous prime is 1410312341983. The next prime is 1410312342017. The reversal of 1410312342012 is 2102432130141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1410312342017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75866983 + ... + 75885569.

It is an arithmetic number, because the mean of its divisors is an integer number (39653111232).

Almost surely, 21410312342012 is an apocalyptic number.

1410312342012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1410312342012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903349339136).

1410312342012 is an abundant number, since it is smaller than the sum of its proper divisors (2396386336260).

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

1410312342012 is a wasteful number, since it uses less digits than its factorization.

1410312342012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29567 (or 29565 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1410312342012 its reverse (2102432130141), we get a palindrome (3512744472153).

The spelling of 1410312342012 in words is "one trillion, four hundred ten billion, three hundred twelve million, three hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 581 996 1162 1743 2324 3486 6972 10883 18587 21766 32649 37174 43532 55761 65298 74348 76181 111522 130109 130596 152362 223044 228543 260218 304724 390327 457086 520436 780654 903289 914172 1542721 1561308 1806578 2709867 3085442 3613156 4628163 5419734 6170884 6323023 9256326 10799047 10839468 12646046 18512652 18969069 21598094 25292092 32397141 37938138 43196188 64794282 75876276 129588564 202282321 404564642 606846963 809129284 1213693926 1415976247 2427387852 2831952494 4247928741 5663904988 8495857482 16789432643 16991714964 33578865286 50368297929 67157730572 100736595858 117526028501 201473191716 235052057002 352578085503 470104114004 705156171006 1410312342012