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2286434476140 = 2235415031847803
BaseRepresentation
bin100001010001011010000…
…111010110000001101100
322002120200112211212100120
4201101122013112001230
5244430104211214030
64510212401524540
7324121656244233
oct41213207260154
98076615755316
102286434476140
11801742722241
1230b162343750
131377c0aa6b89
147c9420d5b1a
153e71e77c010
hex2145a1d606c

2286434476140 has 96 divisors (see below), whose sum is σ = 6571204932096. Its totient is φ = 593661826560.

The previous prime is 2286434476129. The next prime is 2286434476153. The reversal of 2286434476140 is 416744346822.

It is a super-2 number, since 2×22864344761402 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313479 + ... + 2161281.

It is an arithmetic number, because the mean of its divisors is an integer number (68450051376).

Almost surely, 22286434476140 is an apocalyptic number.

2286434476140 is a gapful number since it is divisible by the number (20) 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 2286434476140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285602466048).

2286434476140 is an abundant number, since it is smaller than the sum of its proper divisors (4284770455956).

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

2286434476140 is a wasteful number, since it uses less digits than its factorization.

2286434476140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848359 (or 1848357 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 51.

The spelling of 2286434476140 in words is "two trillion, two hundred eighty-six billion, four hundred thirty-four million, four hundred seventy-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 503 615 820 1006 1230 1509 2012 2460 2515 3018 5030 6036 7545 10060 15090 20623 30180 41246 61869 82492 103115 123738 206230 247476 309345 412460 618690 1237380 1847803 3695606 5543409 7391212 9239015 11086818 18478030 22173636 27717045 36956060 55434090 75759923 110868180 151519846 227279769 303039692 378799615 454559538 757599230 909119076 929444909 1136398845 1515198460 1858889818 2272797690 2788334727 3717779636 4545595380 4647224545 5576669454 9294449090 11153338908 13941673635 18588898180 27883347270 38107241269 55766694540 76214482538 114321723807 152428965076 190536206345 228643447614 381072412690 457286895228 571608619035 762144825380 1143217238070 2286434476140