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1122144142240 = 255112332736403
BaseRepresentation
bin10000010101000101000…
…000001100001110100000
310222021110011011202012001
4100111011000030032200
5121341122400022430
62215301135213344
7144033530555002
oct20250500141640
93867404152161
101122144142240
113a29981288a0
1216158b977254
1381a82757b14
143c45244a372
151e2c9aa33ca
hex1054500c3a0

1122144142240 has 96 divisors (see below), whose sum is σ = 2904484879296. Its totient is φ = 406300968960.

The previous prime is 1122144142237. The next prime is 1122144142241. The reversal of 1122144142240 is 422414412211.

It is a junction number, because it is equal to n+sod(n) for n = 1122144142199 and 1122144142208.

It is not an unprimeable number, because it can be changed into a prime (1122144142241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 958122 + ... + 1778281.

It is an arithmetic number, because the mean of its divisors is an integer number (30255050826).

Almost surely, 21122144142240 is an apocalyptic number.

1122144142240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122144142240 is an abundant number, since it is smaller than the sum of its proper divisors (1782340737056).

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

1122144142240 is a wasteful number, since it uses less digits than its factorization.

1122144142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736662 (or 2736654 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 1122144142240 its reverse (422414412211), we get a palindrome (1544558554451).

The spelling of 1122144142240 in words is "one trillion, one hundred twenty-two billion, one hundred forty-four million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 233 352 440 466 880 932 1165 1760 1864 2330 2563 3728 4660 5126 7456 9320 10252 12815 18640 20504 25630 37280 41008 51260 82016 102520 205040 410080 2736403 5472806 10945612 13682015 21891224 27364030 30100433 43782448 54728060 60200866 87564896 109456120 120401732 150502165 218912240 240803464 301004330 437824480 481606928 602008660 637581899 963213856 1204017320 1275163798 2408034640 2550327596 3187909495 4816069280 5100655192 6375818990 7013400889 10201310384 12751637980 14026801778 20402620768 25503275960 28053603556 35067004445 51006551920 56107207112 70134008890 102013103840 112214414224 140268017780 224428828448 280536035560 561072071120 1122144142240