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1142006625045 = 3251113360749201
BaseRepresentation
bin10000100111100100111…
…001100011001100010101
311001011201101221102022100
4100213210321203030111
5122202312144000140
62232344113152313
7145335663102066
oct20474471431425
94034641842270
101142006625045
1140035aa71140
121653b385b699
13838c97b4520
143d3b837656d
151ea8d708530
hex109e4e63315

1142006625045 has 96 divisors (see below), whose sum is σ = 2326232772864. Its totient is φ = 510955776000.

The previous prime is 1142006625031. The next prime is 1142006625073. The reversal of 1142006625045 is 5405266002411.

1142006625045 is a `hidden beast` number, since 1 + 1 + 4 + 20 + 0 + 6 + 625 + 0 + 4 + 5 = 666.

It is not a de Polignac number, because 1142006625045 - 27 = 1142006624917 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 23186445 + ... + 23235645.

It is an arithmetic number, because the mean of its divisors is an integer number (24231591384).

Almost surely, 21142006625045 is an apocalyptic number.

1142006625045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1142006625045 is an abundant number, since it is smaller than the sum of its proper divisors (1184226147819).

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

1142006625045 is a wasteful number, since it uses less digits than its factorization.

1142006625045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52843 (or 52840 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1142006625045 in words is "one trillion, one hundred forty-two billion, six million, six hundred twenty-five thousand, forty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 715 1287 2145 3607 6435 10821 18035 32463 39677 46891 49201 54105 119031 140673 147603 162315 198385 234455 246005 357093 422019 442809 515801 541211 595155 639613 703365 738015 1547403 1623633 1785465 1918839 2110095 2214045 2579005 2706055 3198065 4642209 4870899 5756517 7035743 7737015 8118165 9594195 21107229 23211045 24354495 28782585 35178715 63321687 105536145 177468007 316608435 532404021 887340035 1597212063 1952148077 2307084091 2662020105 5856444231 6921252273 7986060315 9760740385 11535420455 17569332693 20763756819 25377925001 29282221155 34606261365 76133775003 87846663465 103818784095 126889625005 228401325009 380668875015 1142006625045