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13350153332440 = 2357511918323167
BaseRepresentation
bin1100001001000101001100…
…1001011010011011011000
31202021021002010202211012201
43002101103021122123120
53222212103223114230
644220550433415544
72545342146666121
oct302212311323330
952237063684181
1013350153332440
11428784a577a71
1215b742340a5b4
1375abb62516a2
14342217dad048
15182404dc75ca
hexc245325a6d8

13350153332440 has 64 divisors (see below), whose sum is σ = 30080708444160. Its totient is φ = 5332442544000.

The previous prime is 13350153332381. The next prime is 13350153332449. The reversal of 13350153332440 is 4423335105331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13350153332440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13350153332449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576245737 + ... + 576268903.

It is an arithmetic number, because the mean of its divisors is an integer number (470011069440).

Almost surely, 213350153332440 is an apocalyptic number.

13350153332440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13350153332440 is an abundant number, since it is smaller than the sum of its proper divisors (16730555111720).

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

13350153332440 is a wasteful number, since it uses less digits than its factorization.

13350153332440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43112 (or 43108 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 37.

Adding to 13350153332440 its reverse (4423335105331), we get a palindrome (17773488437771).

The spelling of 13350153332440 in words is "thirteen trillion, three hundred fifty billion, one hundred fifty-three million, three hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 751 1502 3004 3755 6008 7510 15020 19183 23167 30040 38366 46334 76732 92668 95915 115835 153464 185336 191830 231670 383660 463340 767320 926680 14406433 17398417 28812866 34796834 57625732 69593668 72032165 86992085 115251464 139187336 144064330 173984170 288128660 347968340 444412561 576257320 695936680 888825122 1777650244 2222062805 3555300488 4444125610 8888251220 17776502440 333753833311 667507666622 1335015333244 1668769166555 2670030666488 3337538333110 6675076666220 13350153332440