Search a number
-
+
40770713807700 = 22352677769261043
BaseRepresentation
bin10010100010100101010111…
…11010011110101101010100
312100100122100010221001000020
421101102223322132231110
520320441410213321300
6222413450215545140
711405405203236642
oct1121225372365524
9170318303831006
1040770713807700
1111a99843066058
1246a577968b1b0
13199987b014166
14a0d455126192
154aa816dd38a0
hex2514abe9eb54

40770713807700 has 144 divisors (see below), whose sum is σ = 118291587395520. Its totient is φ = 10841972244480.

The previous prime is 40770713807693. The next prime is 40770713807701. The reversal of 40770713807700 is 770831707704.

It is a super-2 number, since 2×407707138077002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40770713807701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156053379 + ... + 156314421.

Almost surely, 240770713807700 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 40770713807700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59145793697760).

40770713807700 is an abundant number, since it is smaller than the sum of its proper divisors (77520873587820).

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

40770713807700 is a wasteful number, since it uses less digits than its factorization.

40770713807700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262506 (or 262499 counting only the distinct ones).

The product of its (nonzero) digits is 1613472, while the sum is 51.

The spelling of 40770713807700 in words is "forty trillion, seven hundred seventy billion, seven hundred thirteen million, eight hundred seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 677 769 1354 1538 2031 2307 2708 3076 3385 3845 4062 4614 6770 7690 8124 9228 10155 11535 13540 15380 16925 19225 20310 23070 33850 38450 40620 46140 50775 57675 67700 76900 101550 115350 203100 230700 261043 520613 522086 783129 1041226 1044172 1305215 1561839 1566258 2082452 2603065 2610430 3123678 3132516 3915645 5206130 5220860 6247356 6526075 7809195 7831290 10412260 13015325 13052150 15618390 15662580 19578225 26030650 26104300 31236780 39045975 39156450 52061300 78091950 78312900 156183900 176726111 200742067 353452222 401484134 530178333 602226201 706904444 802968268 883630555 1003710335 1060356666 1204452402 1767261110 2007420670 2120713332 2408904804 2650891665 3011131005 3534522220 4014841340 4418152775 5018551675 5301783330 6022262010 8836305550 10037103350 10603566660 12044524020 13254458325 15055655025 17672611100 20074206700 26508916650 30111310050 53017833300 60222620100 135902379359 271804758718 407707138077 543609517436 679511896795 815414276154 1359023793590 1630828552308 2038535690385 2718047587180 3397559483975 4077071380770 6795118967950 8154142761540 10192678451925 13590237935900 20385356903850 40770713807700