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45400244412 = 22319594617321
BaseRepresentation
bin101010010010000100…
…001100000010111100
311100012000120101011210
4222102010030002330
51220434430310122
632505004444420
73165026465415
oct522204140274
9140160511153
1045400244412
1118288288656
128970549710
134386b09a63
1422a989880c
1512aab4e40c
hexa9210c0bc

45400244412 has 96 divisors (see below), whose sum is σ = 113660870400. Its totient is φ = 14061427200.

The previous prime is 45400244399. The next prime is 45400244419. The reversal of 45400244412 is 21444200454.

It is a super-2 number, since 2×454002444122 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45400244412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45400244419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6197712 + ... + 6205032.

It is an arithmetic number, because the mean of its divisors is an integer number (1183967400).

Almost surely, 245400244412 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 45400244412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56830435200).

45400244412 is an abundant number, since it is smaller than the sum of its proper divisors (68260625988).

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

45400244412 is a wasteful number, since it uses less digits than its factorization.

45400244412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7867 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 45400244412 its reverse (21444200454), we get a palindrome (66844444866).

The spelling of 45400244412 in words is "forty-five billion, four hundred million, two hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 177 228 236 354 461 708 922 1121 1383 1844 2242 2766 3363 4484 5532 6726 7321 8759 13452 14642 17518 21963 26277 27199 29284 35036 43926 52554 54398 81597 87852 105108 108796 139099 163194 278198 326388 417297 431939 516781 556396 834594 863878 1033562 1295817 1550343 1669188 1727756 2067124 2591634 3100686 3374981 5183268 6201372 6749962 8206841 10124943 13499924 16413682 20249886 24620523 32827364 40499772 49241046 64124639 98482092 128249278 192373917 199123879 256498556 384747834 398247758 597371637 769495668 796495516 1194743274 2389486548 3783353701 7566707402 11350061103 15133414804 22700122206 45400244412