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40435216516 = 221722311531319
BaseRepresentation
bin100101101010001000…
…000111000010000100
310212100222222211022201
4211222020013002010
51130302403412031
630324203004244
72631010445422
oct455210070204
9125328884281
1040435216516
111616a697712
127a05809684
133a752a4326
141d582dc112
1510b9d04d61
hex96a207084

40435216516 has 72 divisors (see below), whose sum is σ = 78564689280. Its totient is φ = 18171445248.

The previous prime is 40435216487. The next prime is 40435216553. The reversal of 40435216516 is 61561253404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30655305 + ... + 30656623.

It is an arithmetic number, because the mean of its divisors is an integer number (1091176240).

Almost surely, 240435216516 is an apocalyptic number.

40435216516 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

40435216516 is a deficient number, since it is larger than the sum of its proper divisors (38129472764).

40435216516 is a wasteful number, since it uses less digits than its factorization.

40435216516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 40435216516 in words is "forty billion, four hundred thirty-five million, two hundred sixteen thousand, five hundred sixteen".

Divisors: 1 2 4 17 23 34 46 68 92 289 391 578 782 1153 1156 1319 1564 2306 2638 4612 5276 6647 13294 19601 22423 26519 26588 30337 39202 44846 53038 60674 78404 89692 106076 121348 333217 381191 450823 515729 666434 762382 901646 1031458 1332868 1520807 1524764 1803292 2062916 3041614 6083228 7663991 8767393 15327982 17534786 25853719 30655964 34978561 35069572 51707438 69957122 103414876 139914244 439513223 594635537 879026446 1189271074 1758052892 2378542148 10108804129 20217608258 40435216516