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1323351131040 = 25325918993841
BaseRepresentation
bin10011010000011101110…
…111111100001110100000
311200111210121121211001100
4103100131313330032200
5133140210342143130
62451534503234400
7164415606005541
oct23203567741640
94614717554040
101323351131040
114702592395a4
12194583748a00
1397a39b47543
144809c95a4c8
1524653e93c60
hex1341ddfc3a0

1323351131040 has 72 divisors (see below), whose sum is σ = 4515935739588. Its totient is φ = 352893634560.

The previous prime is 1323351131017. The next prime is 1323351131041. The reversal of 1323351131040 is 401311533231.

1323351131040 is a `hidden beast` number, since 1 + 3 + 2 + 335 + 11 + 310 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1298861384976 + 24489746064 = 1139676^2 + 156492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 1323351130995 and 1323351131013.

It is not an unprimeable number, because it can be changed into a prime (1323351131041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 459495481 + ... + 459498360.

Almost surely, 21323351131040 is an apocalyptic number.

1323351131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323351131040 is an abundant number, since it is smaller than the sum of its proper divisors (3192584608548).

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

1323351131040 is a wasteful number, since it uses less digits than its factorization.

1323351131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918993862 (or 918993851 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 1323351131040 its reverse (401311533231), we get a palindrome (1724662664271).

The spelling of 1323351131040 in words is "one trillion, three hundred twenty-three billion, three hundred fifty-one million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 918993841 1837987682 2756981523 3675975364 4594969205 5513963046 7351950728 8270944569 9189938410 11027926092 13784907615 14703901456 16541889138 18379876820 22055852184 27569815230 29407802912 33083778276 36759753640 41354722845 44111704368 55139630460 66167556552 73519507280 82709445690 88223408736 110279260920 132335113104 147039014560 165418891380 220558521840 264670226208 330837782760 441117043680 661675565520 1323351131040