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45114153012 = 2234477937501
BaseRepresentation
bin101010000001000000…
…110101100000110100
311022110002020102120000
4222001000311200310
51214343210344022
632420344511300
73154653654615
oct520100654064
9138402212500
1045114153012
1118150843985
1288b077b530
13433c76b8c6
14227d8a5c0c
15129098b6ac
hexa81035834

45114153012 has 120 divisors (see below), whose sum is σ = 121974504960. Its totient is φ = 14531400000.

The previous prime is 45114152983. The next prime is 45114153013. The reversal of 45114153012 is 21035141154.

45114153012 is a `hidden beast` number, since 4 + 5 + 114 + 1 + 530 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45114153013) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1184262 + ... + 1221762.

It is an arithmetic number, because the mean of its divisors is an integer number (1016454208).

Almost surely, 245114153012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45114153012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60987252480).

45114153012 is an abundant number, since it is smaller than the sum of its proper divisors (76860351948).

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

45114153012 is a wasteful number, since it uses less digits than its factorization.

45114153012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37643 (or 37632 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 45114153012 its reverse (21035141154), we get a palindrome (66149294166).

The spelling of 45114153012 in words is "forty-five billion, one hundred fourteen million, one hundred fifty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 79 81 94 108 141 158 162 188 237 282 316 324 423 474 564 711 846 948 1269 1422 1692 2133 2538 2844 3713 3807 4266 5076 6399 7426 7614 8532 11139 12798 14852 15228 22278 25596 33417 37501 44556 66834 75002 100251 112503 133668 150004 200502 225006 300753 337509 401004 450012 601506 675018 1012527 1203012 1350036 1762547 2025054 2962579 3037581 3525094 4050108 5287641 5925158 6075162 7050188 8887737 10575282 11850316 12150324 15862923 17775474 21150564 26663211 31725846 35550948 47588769 53326422 63451692 79989633 95177538 106652844 139241213 142766307 159979266 190355076 239968899 278482426 285532614 319958532 417723639 479937798 556964852 571065228 835447278 959875596 1253170917 1670894556 2506341834 3759512751 5012683668 7519025502 11278538253 15038051004 22557076506 45114153012