Search a number
-
+
45454014053100 = 2232523741101329627
BaseRepresentation
bin10100101010111000101100…
…10111000111101011101100
312221221100202101120201000200
422111130112113013223230
521424204310044144400
6240401141421353500
712400641561426312
oct1225342627075354
9187840671521020
1045454014053100
1113534a36a49534
125121361408890
131c493ab53bb13
14b31db38c60b2
1553c56accab00
hex2957165c7aec

45454014053100 has 432 divisors, whose sum is σ = 151377120681696. Its totient is φ = 11391874560000.

The previous prime is 45454014053083. The next prime is 45454014053183. The reversal of 45454014053100 is 135041045454.

45454014053100 is a `hidden beast` number, since 4 + 5 + 4 + 540 + 1 + 4 + 0 + 5 + 3 + 100 = 666.

It is a super-2 number, since 2×454540140531002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 137730487 + ... + 138060113.

It is an arithmetic number, because the mean of its divisors is an integer number (350410001578).

Almost surely, 245454014053100 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 45454014053100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75688560340848).

45454014053100 is an abundant number, since it is smaller than the sum of its proper divisors (105923106628596).

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

45454014053100 is a wasteful number, since it uses less digits than its factorization.

45454014053100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329826 (or 329816 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 45454014053100 its reverse (135041045454), we get a palindrome (45589055098554).

The spelling of 45454014053100 in words is "forty-five trillion, four hundred fifty-four billion, fourteen million, fifty-three thousand, one hundred".