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1434042102144 = 27310753347297
BaseRepresentation
bin10100110111100011100…
…100011111000110000000
312002002111212012202120210
4110313203210133012000
5141443404234232034
63014442335034120
7205414620514161
oct24674344370600
95062455182523
101434042102144
115031a0421503
121b1b1596b940
13a52ca541c92
144d59d807768
1527481a788e9
hex14de391f180

1434042102144 has 64 divisors (see below), whose sum is σ = 3809539545840. Its totient is φ = 477968203776.

The previous prime is 1434042102127. The next prime is 1434042102221. The reversal of 1434042102144 is 4412012404341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3955504 + ... + 4302800.

Almost surely, 21434042102144 is an apocalyptic number.

It is an amenable number.

1434042102144 is an abundant number, since it is smaller than the sum of its proper divisors (2375497443696).

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

1434042102144 is a wasteful number, since it uses less digits than its factorization.

1434042102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358067 (or 358055 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1434042102144 its reverse (4412012404341), we get a palindrome (5846054506485).

The spelling of 1434042102144 in words is "one trillion, four hundred thirty-four billion, forty-two million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 10753 21506 32259 43012 64518 86024 129036 172048 258072 344096 347297 516144 688192 694594 1032288 1041891 1376384 1389188 2064576 2083782 2778376 4129152 4167564 5556752 8335128 11113504 16670256 22227008 33340512 44454016 66681024 133362048 3734484641 7468969282 11203453923 14937938564 22406907846 29875877128 44813815692 59751754256 89627631384 119503508512 179255262768 239007017024 358510525536 478014034048 717021051072 1434042102144