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1421328376976 = 2429149160112841
BaseRepresentation
bin10100101011101101110…
…001011110010010010000
312000212200211002121100212
4110223231301132102100
5141241340031030401
63004541011503252
7204454561603064
oct24535561362220
95025624077325
101421328376976
114a88668a6622
121ab567bb7b28
13a4052573a91
144cb150bbaa4
1526e8a823dbb
hex14aedc5e490

1421328376976 has 80 divisors (see below), whose sum is σ = 2869917318000. Its totient is φ = 681074688000.

The previous prime is 1421328376927. The next prime is 1421328376981. The reversal of 1421328376976 is 6796738231241.

It can be written as a sum of positive squares in 8 ways, for example, as 30164742400 + 1391163634576 = 173680^2 + 1179476^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110680316 + ... + 110693156.

It is an arithmetic number, because the mean of its divisors is an integer number (35873966475).

Almost surely, 21421328376976 is an apocalyptic number.

1421328376976 is a gapful number since it is divisible by the number (16) 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 1421328376976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434958659000).

1421328376976 is an abundant number, since it is smaller than the sum of its proper divisors (1448588941024).

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

1421328376976 is a wasteful number, since it uses less digits than its factorization.

1421328376976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14628 (or 14622 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 59.

The spelling of 1421328376976 in words is "one trillion, four hundred twenty-one billion, three hundred twenty-eight million, three hundred seventy-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 29 58 116 149 232 298 464 596 1192 1601 2384 3202 4321 6404 8642 12808 12841 17284 25616 25682 34568 46429 51364 69136 92858 102728 185716 205456 238549 371432 372389 477098 742864 744778 954196 1489556 1908392 1913309 2979112 3816784 3826618 5958224 6917921 7653236 13835842 15306472 20558441 27671684 30612944 41116882 55343368 55485961 82233764 110686736 110971922 164467528 221943844 328935056 443887688 596194789 887775376 1192389578 2384779156 3063207709 4769558312 6126415418 9539116624 12252830836 24505661672 49011323344 88833023561 177666047122 355332094244 710664188488 1421328376976