Search a number
-
+
40412504120 = 2358389136769
BaseRepresentation
bin100101101000110001…
…011110000000111000
310212022102020220202212
4211220301132000320
51130231100112440
630322032114252
72630313421502
oct455061360070
9125272226685
1040412504120
111615889453a
1279ba095988
133a70681441
141d552a8d72
1510b7d1a465
hex968c5e038

40412504120 has 64 divisors (see below), whose sum is σ = 93058308000. Its totient is φ = 15790686208.

The previous prime is 40412504113. The next prime is 40412504137. The reversal of 40412504120 is 2140521404.

It is a congruent number.

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, 227096 + ... + 363864.

Almost surely, 240412504120 is an apocalyptic number.

40412504120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40412504120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46529154000).

40412504120 is an abundant number, since it is smaller than the sum of its proper divisors (52645803880).

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

40412504120 is a wasteful number, since it uses less digits than its factorization.

40412504120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136952 (or 136948 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The spelling of 40412504120 in words is "forty billion, four hundred twelve million, five hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 89 166 178 332 356 415 445 664 712 830 890 1660 1780 3320 3560 7387 14774 29548 36935 59096 73870 136769 147740 273538 295480 547076 683845 1094152 1367690 2735380 5470760 11351827 12172441 22703654 24344882 45407308 48689764 56759135 60862205 90814616 97379528 113518270 121724410 227036540 243448820 454073080 486897640 1010312603 2020625206 4041250412 5051563015 8082500824 10103126030 20206252060 40412504120