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214013380504 = 237112170918481
BaseRepresentation
bin1100011101010000110…
…0010000011110011000
3202110101221221011200011
43013110030100132120
512001244411134004
6242152201251304
721314310501520
oct3072414203630
9673357834604
10214013380504
1182842a79400
1235588793b34
13172486344c1
14a50327c680
15587884c004
hex31d4310798

214013380504 has 96 divisors (see below), whose sum is σ = 504403351200. Its totient is φ = 83328537600.

The previous prime is 214013380459. The next prime is 214013380513. The reversal of 214013380504 is 405083310412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11570944 + ... + 11589424.

It is an arithmetic number, because the mean of its divisors is an integer number (5254201575).

Almost surely, 2214013380504 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 214013380504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252201675600).

214013380504 is an abundant number, since it is smaller than the sum of its proper divisors (290389970696).

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

214013380504 is a wasteful number, since it uses less digits than its factorization.

214013380504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20225 (or 20210 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 214013380504 its reverse (405083310412), we get a palindrome (619096690916).

The spelling of 214013380504 in words is "two hundred fourteen billion, thirteen million, three hundred eighty thousand, five hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 847 968 1694 1709 3388 3418 6776 6836 11963 13672 18481 18799 23926 36962 37598 47852 73924 75196 95704 129367 131593 147848 150392 203291 206789 258734 263186 406582 413578 517468 526372 813164 827156 1034936 1052744 1423037 1447523 1626328 1654312 2236201 2846074 2895046 4472402 5692148 5790092 8944804 11384296 11580184 15653407 17889608 31306814 31584029 62613628 63168058 125227256 126336116 221088203 252672232 347424319 442176406 694848638 884352812 1389697276 1768705624 2431970233 2779394552 3821667509 4863940466 7643335018 9727880932 15286670036 19455761864 26751672563 30573340072 53503345126 107006690252 214013380504