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1142627430784 = 2775346375189
BaseRepresentation
bin10000101000001001111…
…001101111000110000000
311001020022200002121200111
4100220021321233012000
5122210100110241114
62232525451201104
7145360241624260
oct20501171570600
94036280077614
101142627430784
1140064943a734
12165547746194
13839982b61b8
143d4369b77a0
151eac7e85bc4
hex10a09e6f180

1142627430784 has 128 divisors (see below), whose sum is σ = 2651685595200. Its totient is φ = 480261709824.

The previous prime is 1142627430739. The next prime is 1142627430823. The reversal of 1142627430784 is 4870347262411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 220199262 + ... + 220204450.

Almost surely, 21142627430784 is an apocalyptic number.

1142627430784 is a gapful number since it is divisible by the number (14) 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 1142627430784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325842797600).

1142627430784 is an abundant number, since it is smaller than the sum of its proper divisors (1509058164416).

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

1142627430784 is an equidigital number, since it uses as much as digits as its factorization.

1142627430784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9900 (or 9888 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 49.

The spelling of 1142627430784 in words is "one trillion, one hundred forty-two billion, six hundred twenty-seven million, four hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 371 424 448 742 848 896 1484 1696 2968 3392 4637 5189 5936 6784 9274 10378 11872 18548 20756 23744 32459 36323 37096 41512 47488 64918 72646 74192 83024 129836 145292 148384 166048 245761 259672 275017 290584 296768 332096 491522 519344 550034 581168 593536 664192 983044 1038688 1100068 1162336 1720327 1925119 1966088 2077376 2200136 2324672 3440654 3850238 3932176 4154752 4400272 4649344 6881308 7700476 7864352 8800544 13762616 15400952 15728704 17601088 24061393 27525232 30801904 31457408 35202176 48122786 55050464 61603808 96245572 110100928 123207616 168429751 192491144 220201856 246415232 336859502 384982288 673719004 769964576 1275253829 1347438008 1539929152 2550507658 2694876016 3079858304 5101015316 5389752032 8926776803 10202030632 10779504064 17853553606 20404061264 21559008128 35707107212 40808122528 71414214424 81616245056 142828428848 163232490112 285656857696 571313715392 1142627430784