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40344401300 = 225273111316453
BaseRepresentation
bin100101100100101101…
…101011010110010100
310212010200002221021012
4211210231223112110
51130111131320200
630311200311352
72625525516140
oct454455532624
9125120087235
1040344401300
11161233a9915
12799b312558
133a5c528308
141d4a21c220
1510b1d66a35
hex964b6b594

40344401300 has 144 divisors (see below), whose sum is σ = 104201997312. Its totient is φ = 13266892800.

The previous prime is 40344401291. The next prime is 40344401333. The reversal of 40344401300 is 310444304.

40344401300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2443874 + ... + 2460326.

Almost surely, 240344401300 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 40344401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52100998656).

40344401300 is an abundant number, since it is smaller than the sum of its proper divisors (63857596012).

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

40344401300 is a wasteful number, since it uses less digits than its factorization.

40344401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16618 (or 16611 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 40344401300 its reverse (310444304), we get a palindrome (40654845604).

The spelling of 40344401300 in words is "forty billion, three hundred forty-four million, four hundred one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 113 124 140 155 175 217 226 310 350 434 452 565 620 700 775 791 868 1085 1130 1550 1582 2170 2260 2825 3100 3164 3503 3955 4340 5425 5650 7006 7910 10850 11300 14012 15820 16453 17515 19775 21700 24521 32906 35030 39550 49042 65812 70060 79100 82265 87575 98084 115171 122605 164530 175150 230342 245210 329060 350300 411325 460684 490420 510043 575855 613025 822650 1020086 1151710 1226050 1645300 1859189 2040172 2303420 2452100 2550215 2879275 3570301 3718378 5100430 5758550 7140602 7436756 9295945 10200860 11517100 12751075 13014323 14281204 17851505 18591890 25502150 26028646 35703010 37183780 46479725 51004300 52057292 57634859 65071615 71406020 89257525 92959450 115269718 130143230 178515050 185918900 230539436 260286460 288174295 325358075 357030100 403444013 576348590 650716150 806888026 1152697180 1301432300 1440871475 1613776052 2017220065 2881742950 4034440130 5763485900 8068880260 10086100325 20172200650 40344401300