Search a number
-
+
502140211072 = 2737675093109
BaseRepresentation
bin1110100111010011110…
…00111000111110000000
31210000010000101200220021
413103221320320332000
531211340343223242
61022402515223224
751164334240643
oct7235170707600
91700100350807
10502140211072
11183a58070785
12813998a7b14
1338475677566
141a437579a5a
15d0dd98eb67
hex74e9e38f80

502140211072 has 128 divisors (see below), whose sum is σ = 1045113012000. Its totient is φ = 240088375296.

The previous prime is 502140211031. The next prime is 502140211087. The reversal of 502140211072 is 270112041205.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×5021402110722 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161510254 + ... + 161513362.

Almost surely, 2502140211072 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 502140211072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522556506000).

502140211072 is an abundant number, since it is smaller than the sum of its proper divisors (542972800928).

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

502140211072 is a wasteful number, since it uses less digits than its factorization.

502140211072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

Adding to 502140211072 its reverse (270112041205), we get a palindrome (772252252277).

The spelling of 502140211072 in words is "five hundred two billion, one hundred forty million, two hundred eleven thousand, seventy-two".

Divisors: 1 2 4 8 16 32 37 64 67 74 128 134 148 268 296 509 536 592 1018 1072 1184 2036 2144 2368 2479 3109 4072 4288 4736 4958 6218 8144 8576 9916 12436 16288 18833 19832 24872 32576 34103 37666 39664 49744 65152 68206 75332 79328 99488 115033 136412 150664 158656 198976 208303 230066 272824 301328 317312 397952 416606 460132 545648 602656 833212 920264 1091296 1205312 1261811 1582481 1666424 1840528 2182592 2410624 2523622 3164962 3332848 3681056 4365184 5047244 6329924 6665696 7362112 7707211 10094488 12659848 13331392 14724224 15414422 20188976 25319696 26662784 30828844 40377952 50639392 58551797 61657688 80755904 101278784 106026227 117103594 123315376 161511808 202557568 212052454 234207188 246630752 424104908 468414376 493261504 848209816 936828752 986523008 1696419632 1873657504 3392839264 3747315008 3922970399 6785678528 7494630016 7845940798 13571357056 15691881596 31383763192 62767526384 125535052768 251070105536 502140211072