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5002040234144 = 251724331249141
BaseRepresentation
bin100100011001010000011…
…0101001101000010100000
3122201012010210011202111202
41020302200311031002200
51123423134244443034
614345523333500332
71024246135315502
oct110624065150240
918635123152452
105002040234144
111659398344688
126895191a16a8
132a38c89878c5
14134158715d72
158a1ab8d047e
hex48ca0d4d0a0

5002040234144 has 72 divisors (see below), whose sum is σ = 10485290453148. Its totient is φ = 2348463144960.

The previous prime is 5002040234141. The next prime is 5002040234153. The reversal of 5002040234144 is 4414320402005.

It can be written as a sum of positive squares in 6 ways, for example, as 1196809744144 + 3805230490000 = 1093988^2 + 1950700^2 .

It is not an unprimeable number, because it can be changed into a prime (5002040234141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3379814 + ... + 4628954.

Almost surely, 25002040234144 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 5002040234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242645226574).

5002040234144 is an abundant number, since it is smaller than the sum of its proper divisors (5483250219004).

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

5002040234144 is a wasteful number, since it uses less digits than its factorization.

5002040234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249618 (or 1249593 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 5002040234144 its reverse (4414320402005), we get a palindrome (9416360636149).

The spelling of 5002040234144 in words is "five trillion, two billion, forty million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 433 544 578 866 1156 1732 2312 3464 4624 6928 7361 9248 13856 14722 29444 58888 117776 125137 235552 250274 500548 1001096 1249141 2002192 2498282 4004384 4996564 9993128 19986256 21235397 39972512 42470794 84941588 169883176 339766352 361001749 540878053 679532704 722003498 1081756106 1444006996 2163512212 2888013992 4327024424 5776027984 8654048848 9194926901 11552055968 17308097696 18389853802 36779707604 73559415208 147118830416 156313757317 294237660832 312627514634 625255029268 1250510058536 2501020117072 5002040234144