Search a number
-
+
23134440404000 = 255341141063661
BaseRepresentation
bin1010100001010011010000…
…00110100011010000100000
310000220122000221001220220002
411100221220012203100200
511013013313220412000
6121111452030035132
74605256666611422
oct520515006432040
9100818027056802
1023134440404000
11740a296549112
122717739348aa8
13cba750926b43
1459d9da254812
152a1ba71a88d5
hex150a681a3420

23134440404000 has 96 divisors (see below), whose sum is σ = 58227694145712. Its totient is φ = 9028074240000.

The previous prime is 23134440403973. The next prime is 23134440404029. The reversal of 23134440404000 is 40404443132.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 744168473104 + 22390271930896 = 862652^2 + 4731836^2 .

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, 70367831 + ... + 70695830.

Almost surely, 223134440404000 is an apocalyptic number.

23134440404000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23134440404000 is an abundant number, since it is smaller than the sum of its proper divisors (35093253741712).

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

23134440404000 is a wasteful number, since it uses less digits than its factorization.

23134440404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141063727 (or 141063709 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 23134440404000 its reverse (40404443132), we get a palindrome (23174844847132).

The spelling of 23134440404000 in words is "twenty-three trillion, one hundred thirty-four billion, four hundred forty million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 656 800 820 1000 1025 1312 1640 2000 2050 3280 4000 4100 5125 6560 8200 10250 16400 20500 32800 41000 82000 164000 141063661 282127322 564254644 705318305 1128509288 1410636610 2257018576 2821273220 3526591525 4514037152 5642546440 5783610101 7053183050 11285092880 11567220202 14106366100 17632957625 22570185760 23134440404 28212732200 28918050505 35265915250 46268880808 56425464400 57836101010 70531830500 92537761616 112850928800 115672202020 141063661000 144590252525 185075523232 231344404040 282127322000 289180505050 462688808080 564254644000 578361010100 722951262625 925377616160 1156722020200 1445902525250 2313444040400 2891805050500 4626888080800 5783610101000 11567220202000 23134440404000