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1400142852 = 2232295692357
BaseRepresentation
bin101001101110100…
…0111110000000100
310121120121121220200
41103131013300010
510331414032402
6350533530500
746461006063
oct12335076004
93546547820
101400142852
11659387059
12330aa3a30
131940cb7c4
14d3d4c1da
1582dc221c
hex53747c04

1400142852 has 72 divisors (see below), whose sum is σ = 3669283800. Its totient is φ = 449637888.

The previous prime is 1400142841. The next prime is 1400142859. The reversal of 1400142852 is 2582410041.

It can be written as a sum of positive squares in 4 ways, for example, as 3326976 + 1396815876 = 1824^2 + 37374^2 .

It is not an unprimeable number, because it can be changed into a prime (1400142859) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 592858 + ... + 595214.

It is an arithmetic number, because the mean of its divisors is an integer number (50962275).

Almost surely, 21400142852 is an apocalyptic number.

1400142852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400142852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834641900).

1400142852 is an abundant number, since it is smaller than the sum of its proper divisors (2269140948).

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

1400142852 is a wasteful number, since it uses less digits than its factorization.

1400142852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1400142852 is about 37418.4827591927. The cubic root of 1400142852 is about 1118.7269900618.

Adding to 1400142852 its reverse (2582410041), we get a palindrome (3982552893).

The spelling of 1400142852 in words is "one billion, four hundred million, one hundred forty-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 569 1044 1138 1707 2276 2357 3414 4714 5121 6828 7071 9428 10242 14142 16501 20484 21213 28284 33002 42426 49503 66004 68353 84852 99006 136706 148509 198012 205059 273412 297018 410118 594036 615177 820236 1230354 1341133 2460708 2682266 4023399 5364532 8046798 12070197 16093596 24140394 38892857 48280788 77785714 116678571 155571428 233357142 350035713 466714284 700071426 1400142852