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1152542541040 = 245115324711461
BaseRepresentation
bin10000110001011000111…
…000111000010011110000
311002011220200010101222021
4100301120320320103300
5122340401342303130
62241245402321224
7146161035646252
oct20613070702360
94064820111867
101152542541040
11404877243830
121674541b9214
13848b8520747
143dad775dcd2
151eea867637a
hex10c58e384f0

1152542541040 has 80 divisors (see below), whose sum is σ = 2978423091936. Its totient is φ = 411198694400.

The previous prime is 1152542540993. The next prime is 1152542541067. The reversal of 1152542541040 is 401452452511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1152542540987 and 1152542541005.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 12309091 + ... + 12402370.

Almost surely, 21152542541040 is an apocalyptic number.

1152542541040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1152542541040 is an abundant number, since it is smaller than the sum of its proper divisors (1825880550896).

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

1152542541040 is a wasteful number, since it uses less digits than its factorization.

1152542541040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24711538 (or 24711532 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 34.

Adding to 1152542541040 its reverse (401452452511), we get a palindrome (1553994993551).

The spelling of 1152542541040 in words is "one trillion, one hundred fifty-two billion, five hundred forty-two million, five hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 80 88 106 110 176 212 220 265 424 440 530 583 848 880 1060 1166 2120 2332 2915 4240 4664 5830 9328 11660 23320 46640 24711461 49422922 98845844 123557305 197691688 247114610 271826071 395383376 494229220 543652142 988458440 1087304284 1309707433 1359130355 1976916880 2174608568 2619414866 2718260710 4349217136 5238829732 5436521420 6548537165 10477659464 10873042840 13097074330 14406781763 20955318928 21746085680 26194148660 28813563526 52388297320 57627127052 72033908815 104776594640 115254254104 144067817630 230508508208 288135635260 576271270520 1152542541040