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1142664135680 = 21051032166763
BaseRepresentation
bin10000101000001100000…
…101110000010000000000
311001020102020011102100002
4100220030011300100000
5122210134004320210
62232533242015132
7145361165616524
oct20501405602000
94036366142302
101142664135680
1140066812a661
12165557aa74a8
13839a2a97c82
143d43b80dd84
151eacb2d64a5
hex10a0c170400

1142664135680 has 88 divisors (see below), whose sum is σ = 2767668326592. Its totient is φ = 452627914752.

The previous prime is 1142664135677. The next prime is 1142664135721. The reversal of 1142664135680 is 865314662411.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 556022 + ... + 1610741.

Almost surely, 21142664135680 is an apocalyptic number.

1142664135680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142664135680 is an abundant number, since it is smaller than the sum of its proper divisors (1625004190912).

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

1142664135680 is a wasteful number, since it uses less digits than its factorization.

1142664135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166891 (or 2166873 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 1142664135680 in words is "one trillion, one hundred forty-two billion, six hundred sixty-four million, one hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 160 206 256 320 412 512 515 640 824 1024 1030 1280 1648 2060 2560 3296 4120 5120 6592 8240 13184 16480 26368 32960 52736 65920 105472 131840 263680 527360 2166763 4333526 8667052 10833815 17334104 21667630 34668208 43335260 69336416 86670520 138672832 173341040 223176589 277345664 346682080 446353178 554691328 693364160 892706356 1109382656 1115882945 1386728320 1785412712 2218765312 2231765890 2773456640 3570825424 4463531780 5546913280 7141650848 8927063560 11093826560 14283301696 17854127120 28566603392 35708254240 57133206784 71416508480 114266413568 142833016960 228532827136 285666033920 571332067840 1142664135680