Search a number
-
+
40770777432 = 23371160136709
BaseRepresentation
bin100101111110001000…
…001011000101011000
310220020101102002100210
4211332020023011120
51131444304334212
630421351131120
72642223614220
oct457610130530
9126211362323
1040770777432
111632204a590
127a9a073aa0
133ac9973298
141d8aacb080
1510d94da53c
hex97e20b158

40770777432 has 128 divisors (see below), whose sum is σ = 127292659200. Its totient is φ = 10571904000.

The previous prime is 40770777419. The next prime is 40770777449. The reversal of 40770777432 is 23477707704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1092294 + ... + 1129002.

It is an arithmetic number, because the mean of its divisors is an integer number (994473900).

Almost surely, 240770777432 is an apocalyptic number.

40770777432 is a gapful number since it is divisible by the number (42) 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 40770777432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63646329600).

40770777432 is an abundant number, since it is smaller than the sum of its proper divisors (86521881768).

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

40770777432 is a wasteful number, since it uses less digits than its factorization.

40770777432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37337 (or 37333 counting only the distinct ones).

The product of its (nonzero) digits is 1613472, while the sum is 48.

The spelling of 40770777432 in words is "forty billion, seven hundred seventy million, seven hundred seventy-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 601 616 924 1202 1803 1848 2404 3606 4207 4808 6611 7212 8414 12621 13222 14424 16828 19833 25242 26444 33656 36709 39666 46277 50484 52888 73418 79332 92554 100968 110127 138831 146836 158664 185108 220254 256963 277662 293672 370216 403799 440508 513926 555324 770889 807598 881016 1027852 1110648 1211397 1541778 1615196 2055704 2422794 2826593 3083556 3230392 4845588 5653186 6167112 8479779 9691176 11306372 16959558 22062109 22612744 33919116 44124218 66186327 67838232 88248436 132372654 154434763 176496872 242683199 264745308 308869526 463304289 485366398 529490616 617739052 728049597 926608578 970732796 1235478104 1456099194 1698782393 1853217156 1941465592 2912198388 3397564786 3706434312 5096347179 5824396776 6795129572 10192694358 13590259144 20385388716 40770777432