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1143407337138 = 233118772194901
BaseRepresentation
bin10000101000111000011…
…000110101111010110010
311001022100000121222002000
4100220320120311322302
5122213144234242023
62233135111234430
7145415462001603
oct20507030657262
94038300558060
101143407337138
11400a096a6940
12165724978a16
1383a90a52151
143d4ac3d1daa
151eb2168e243
hex10a38635eb2

1143407337138 has 64 divisors (see below), whose sum is σ = 2775058496640. Its totient is φ = 346091832000.

The previous prime is 1143407337131. The next prime is 1143407337143. The reversal of 1143407337138 is 8317337043411.

1143407337138 is a `hidden beast` number, since 1 + 143 + 40 + 7 + 337 + 138 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1143407337093 and 1143407337102.

It is not an unprimeable number, because it can be changed into a prime (1143407337131) 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 31 ways as a sum of consecutive naturals, for example, 576513 + ... + 1618388.

It is an arithmetic number, because the mean of its divisors is an integer number (43360289010).

Almost surely, 21143407337138 is an apocalyptic number.

1143407337138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1143407337138 is an abundant number, since it is smaller than the sum of its proper divisors (1631651159502).

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

1143407337138 is a wasteful number, since it uses less digits than its factorization.

1143407337138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195800 (or 2195794 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 1143407337138 in words is "one trillion, one hundred forty-three billion, four hundred seven million, three hundred thirty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 877 1754 2631 5262 7893 9647 15786 19294 23679 28941 47358 57882 86823 173646 260469 520938 2194901 4389802 6584703 13169406 19754109 24143911 39508218 48287822 59262327 72431733 118524654 144863466 217295199 434590398 651885597 1303771194 1924928177 3849856354 5774784531 11549569062 17324353593 21174209947 34648707186 42348419894 51973060779 63522629841 103946121558 127045259682 190567889523 381135779046 571703668569 1143407337138