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2403153445140 = 2232572272466377
BaseRepresentation
bin100010111110000111000…
…110111000000100010100
322111201221220011211110100
4202332013012320010110
5303333124240221030
65035554330254100
7335423245150500
oct42760706700424
98451856154410
102403153445140
11847198519198
123298b7287330
131458022c0c86
148445579d300
15427a167a360
hex22f871b8114

2403153445140 has 108 divisors (see below), whose sum is σ = 8479698616116. Its totient is φ = 549292214016.

The previous prime is 2403153445109. The next prime is 2403153445141. The reversal of 2403153445140 is 415443513042.

2403153445140 is a `hidden beast` number, since 2 + 4 + 0 + 31 + 534 + 4 + 51 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 516233628036 + 1886919817104 = 718494^2 + 1373652^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2403153445095 and 2403153445104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2403153445141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136224369 + ... + 136242008.

It is an arithmetic number, because the mean of its divisors is an integer number (78515727927).

Almost surely, 22403153445140 is an apocalyptic number.

2403153445140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2403153445140 is an abundant number, since it is smaller than the sum of its proper divisors (6076545170976).

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

2403153445140 is a wasteful number, since it uses less digits than its factorization.

2403153445140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272466406 (or 272466394 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 2403153445140 its reverse (415443513042), we get a palindrome (2818596958182).

The spelling of 2403153445140 in words is "two trillion, four hundred three billion, one hundred fifty-three million, four hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 272466377 544932754 817399131 1089865508 1362331885 1634798262 1907264639 2452197393 2724663770 3269596524 3814529278 4086995655 4904394786 5449327540 5721793917 7629058556 8173991310 9536323195 9808789572 11443587834 12260986965 13350852473 16347982620 17165381751 19072646390 22887175668 24521973930 26701704946 28608969585 34330763502 38145292780 40052557419 49043947860 53403409892 57217939170 66754262365 68661527004 80105114838 85826908755 114435878340 120157672257 133508524730 160210229676 171653817510 200262787095 240315344514 267017049460 343307635020 400525574190 480630689028 600788361285 801051148380 1201576722570 2403153445140