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1142331132144 = 243173491503557
BaseRepresentation
bin10000100111111000001…
…111011100100011110000
311001012120000120002100210
4100213320033130203300
5122203443232212034
62232440224344120
7145350013261656
oct20477017344360
94035500502323
101142331132144
11400507164124
12165484475040
138394bab3067
143d4094c8dd6
151eaabe588e9
hex109f83dc8f0

1142331132144 has 160 divisors (see below), whose sum is σ = 2985387922944. Its totient is φ = 376376949760.

The previous prime is 1142331132139. The next prime is 1142331132181. The reversal of 1142331132144 is 4412311332411.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2050863514 + ... + 2050864070.

Almost surely, 21142331132144 is an apocalyptic number.

It is an amenable number.

1142331132144 is an abundant number, since it is smaller than the sum of its proper divisors (1843056790800).

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

1142331132144 is a wasteful number, since it uses less digits than its factorization.

1142331132144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1729 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

Adding to 1142331132144 its reverse (4412311332411), we get a palindrome (5554642464555).

The spelling of 1142331132144 in words is "one trillion, one hundred forty-two billion, three hundred thirty-one million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 173 346 491 503 519 557 692 982 1006 1038 1114 1384 1473 1509 1671 1964 2012 2076 2228 2768 2946 3018 3342 3928 4024 4152 4456 5892 6036 6684 7856 8048 8304 8912 11784 12072 13368 23568 24144 26736 84943 87019 96361 169886 174038 192722 246973 254829 261057 273487 280171 289083 339772 348076 385444 493946 509658 522114 546974 560342 578166 679544 696152 740919 770888 820461 840513 987892 1019316 1044228 1093948 1120684 1156332 1359088 1392304 1481838 1541776 1640922 1681026 1975784 2038632 2088456 2187896 2241368 2312664 2963676 3281844 3362052 3951568 4077264 4176912 4375792 4482736 4625328 5927352 6563688 6724104 11854704 13127376 13448208 42726329 47313251 48469583 85452658 94626502 96939166 128178987 137563961 141939753 145408749 170905316 189253004 193878332 256357974 275127922 283879506 290817498 341810632 378506008 387756664 412691883 512715948 550255844 567759012 581634996 683621264 757012016 775513328 825383766 1025431896 1100511688 1135518024 1163269992 1650767532 2050863792 2201023376 2271036048 2326539984 3301535064 6603070128 23798565253 47597130506 71395695759 95194261012 142791391518 190388522024 285582783036 380777044048 571165566072 1142331132144