Search a number
-
+
40112878416 = 24313232996377
BaseRepresentation
bin100101010110111010…
…011111001101010000
310211112112110100120120
4211112322133031100
51124122344102131
630232210110240
72620014561252
oct452672371520
9124475410516
1040112878416
1116014746296
12793587b380
133a23584b20
141d27591cd2
15109b882496
hex956e9f350

40112878416 has 160 divisors (see below), whose sum is σ = 120464789760. Its totient is φ = 11398582272.

The previous prime is 40112878409. The next prime is 40112878441. The reversal of 40112878416 is 61487821104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368020 + ... + 464396.

It is an arithmetic number, because the mean of its divisors is an integer number (752904936).

Almost surely, 240112878416 is an apocalyptic number.

40112878416 is a gapful number since it is divisible by the number (46) 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 40112878416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60232394880).

40112878416 is an abundant number, since it is smaller than the sum of its proper divisors (80351911344).

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

40112878416 is a wasteful number, since it uses less digits than its factorization.

40112878416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96453 (or 96447 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 40112878416 in words is "forty billion, one hundred twelve million, eight hundred seventy-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 29 39 46 48 52 58 69 78 87 92 104 116 138 156 174 184 208 232 276 299 312 348 368 377 464 552 598 624 667 696 754 897 1104 1131 1196 1334 1392 1508 1794 2001 2262 2392 2668 3016 3588 4002 4524 4784 5336 6032 7176 8004 8671 9048 10672 14352 16008 17342 18096 26013 32016 34684 52026 69368 96377 104052 138736 192754 208104 289131 385508 416208 578262 771016 1156524 1252901 1542032 2216671 2313048 2505802 2794933 3758703 4433342 4626096 5011604 5589866 6650013 7517406 8384799 8866684 10023208 11179732 13300026 15034812 16769598 17733368 20046416 22359464 26600052 28816723 30069624 33539196 35466736 36334129 44718928 53200104 57633446 60139248 64283459 67078392 72668258 86450169 106400208 109002387 115266892 128566918 134156784 145336516 172900338 192850377 218004774 230533784 257133836 290673032 345800676 385700754 436009548 461067568 514267672 581346064 691601352 771401508 835684967 872019096 1028535344 1383202704 1542803016 1671369934 1744038192 2507054901 3085606032 3342739868 5014109802 6685479736 10028219604 13370959472 20056439208 40112878416