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1145010334437 = 322391919993011
BaseRepresentation
bin10000101010010111111…
…011110010101011100101
311001110110201221122222100
4100222113323302223211
5122224440121200222
62234002133122313
7145503265154244
oct20522773625345
94043421848870
101145010334437
114016615354a2
12165ab1789399
1383c87b97268
143d5c126695b
151ebb72814ac
hex10a97ef2ae5

1145010334437 has 48 divisors (see below), whose sum is σ = 1729128960000. Its totient is φ = 728750040480.

The previous prime is 1145010334427. The next prime is 1145010334487. The reversal of 1145010334437 is 7344330105411.

1145010334437 is a `hidden beast` number, since 114 + 5 + 0 + 103 + 3 + 4 + 437 = 666.

It is not a de Polignac number, because 1145010334437 - 219 = 1145009810149 is a prime.

It is a super-2 number, since 2×11450103344372 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145010334417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380274262 + ... + 380277272.

It is an arithmetic number, because the mean of its divisors is an integer number (36023520000).

Almost surely, 21145010334437 is an apocalyptic number.

It is an amenable number.

1145010334437 is a deficient number, since it is larger than the sum of its proper divisors (584118625563).

1145010334437 is a wasteful number, since it uses less digits than its factorization.

1145010334437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958 (or 5955 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 1145010334437 its reverse (7344330105411), we get a palindrome (8489340439848).

The spelling of 1145010334437 in words is "one trillion, one hundred forty-five billion, ten million, three hundred thirty-four thousand, four hundred thirty-seven".

Divisors: 1 3 9 23 69 207 919 1999 2757 3011 5997 8271 9033 17991 21137 27099 45977 63411 69253 137931 190233 207759 413793 623277 1837081 2767109 5511243 6018989 8301327 16533729 18056967 24903981 42252863 54170901 63643507 126758589 138436747 190930521 380275767 415310241 572791563 1245930723 5531450891 16594352673 49783058019 127223370493 381670111479 1145010334437