Search a number
-
+
20403114204304 = 2413219719552341
BaseRepresentation
bin1001010001110011110000…
…10111111101110010010000
32200020112000002221211211201
410220321320113331302100
510133241034214014204
6111221021122320544
74204035122150506
oct450717027756220
980215002854751
1020403114204304
116556a040731a7
1223563157b9154
13b5000bb81500
14507731c74676
15255ae9d819a4
hex128e785fdc90

20403114204304 has 120 divisors (see below), whose sum is σ = 45121480790400. Its totient is φ = 8908775815680.

The previous prime is 20403114204269. The next prime is 20403114204349. The reversal of 20403114204304 is 40340241130402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36663174 + ... + 37215514.

It is an arithmetic number, because the mean of its divisors is an integer number (376012339920).

Almost surely, 220403114204304 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 20403114204304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22560740395200).

20403114204304 is an abundant number, since it is smaller than the sum of its proper divisors (24718366586096).

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

20403114204304 is a wasteful number, since it uses less digits than its factorization.

20403114204304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553113 (or 553094 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 20403114204304 its reverse (40340241130402), we get a palindrome (60743355334706).

The spelling of 20403114204304 in words is "twenty trillion, four hundred three billion, one hundred fourteen million, two hundred four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 169 208 247 304 338 494 676 719 988 1352 1438 1976 2704 2876 3211 3952 5752 6422 9347 11504 12844 13661 18694 25688 27322 37388 51376 54644 74776 109288 121511 149552 177593 218576 243022 355186 486044 552341 710372 972088 1104682 1420744 1944176 2209364 2308709 2841488 4418728 4617418 7180433 8837456 9234836 10494479 14360866 18469672 20988958 28721732 36939344 41977916 57443464 83955832 93345629 114886928 136428227 167911664 186691258 272856454 373382516 397133179 545712908 746765032 794266358 1091425816 1493530064 1588532716 1773566951 2182851632 3177065432 3547133902 5162731327 6354130864 7094267804 7545530401 10325462654 14188535608 15091060802 20650925308 28377071216 30182121604 41301850616 60364243208 67115507251 82603701232 98091895213 120728486416 134231014502 196183790426 268462029004 392367580852 536924058008 784735161704 1073848116016 1275194637769 1569470323408 2550389275538 5100778551076 10201557102152 20403114204304