Search a number
-
+
40400673700 = 22523745723893
BaseRepresentation
bin100101101000000100…
…010101101110100100
310212021120222212111011
4211220010111232210
51130220033024300
630320530352004
72630111026462
oct455004255644
9125246885434
1040400673700
1116152144132
1279b612b604
133a6b09b6aa
141d538a9832
1510b6c7eeba
hex968115ba4

40400673700 has 72 divisors (see below), whose sum is σ = 90239705192. Its totient is φ = 15688442880.

The previous prime is 40400673673. The next prime is 40400673701. The reversal of 40400673700 is 737600404.

It can be written as a sum of positive squares in 12 ways, for example, as 870486016 + 39530187684 = 29504^2 + 198822^2 .

It is not an unprimeable number, because it can be changed into a prime (40400673701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1678954 + ... + 1702846.

Almost surely, 240400673700 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 40400673700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45119852596).

40400673700 is an abundant number, since it is smaller than the sum of its proper divisors (49839031492).

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

40400673700 is a wasteful number, since it uses less digits than its factorization.

40400673700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24401 (or 24394 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The spelling of 40400673700 in words is "forty billion, four hundred million, six hundred seventy-three thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 457 740 914 925 1828 1850 2285 3700 4570 9140 11425 16909 22850 23893 33818 45700 47786 67636 84545 95572 119465 169090 238930 338180 422725 477860 597325 845450 884041 1194650 1690900 1768082 2389300 3536164 4420205 8840410 10919101 17680820 21838202 22101025 43676404 44202050 54595505 88404100 109191010 218382020 272977525 404006737 545955050 808013474 1091910100 1616026948 2020033685 4040067370 8080134740 10100168425 20200336850 40400673700