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40644172240 = 24571937910079
BaseRepresentation
bin100101110110100101…
…001101100111010000
310212220120011212200121
4211312211031213100
51131214402002430
630401025400024
72636125522660
oct456645154720
9125816155617
1040644172240
11162676371a1
127a63799014
133aa9675a79
141d77d721a0
1510cd32ca7a
hex97694d9d0

40644172240 has 160 divisors (see below), whose sum is σ = 113992704000. Its totient is φ = 13165576704.

The previous prime is 40644172211. The next prime is 40644172241. The reversal of 40644172240 is 4227144604.

40644172240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40644172196 and 40644172205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40644172241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4027521 + ... + 4037599.

It is an arithmetic number, because the mean of its divisors is an integer number (712454400).

Almost surely, 240644172240 is an apocalyptic number.

40644172240 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 40644172240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56996352000).

40644172240 is an abundant number, since it is smaller than the sum of its proper divisors (73348531760).

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

40644172240 is a wasteful number, since it uses less digits than its factorization.

40644172240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10497 (or 10491 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

The spelling of 40644172240 in words is "forty billion, six hundred forty-four million, one hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 379 380 532 560 665 758 760 1064 1330 1516 1520 1895 2128 2653 2660 3032 3790 5306 5320 6064 7201 7580 10079 10612 10640 13265 14402 15160 20158 21224 26530 28804 30320 36005 40316 42448 50395 50407 53060 57608 70553 72010 80632 100790 100814 106120 115216 141106 144020 161264 191501 201580 201628 212240 252035 282212 288040 352765 383002 403160 403256 504070 564424 576080 705530 766004 806320 806512 957505 1008140 1128848 1340507 1411060 1532008 1915010 2016280 2681014 2822120 3064016 3819941 3830020 4032560 5362028 5644240 6702535 7639882 7660040 10724056 13405070 15279764 15320080 19099705 21448112 26739587 26810140 30559528 38199410 53479174 53620280 61119056 72578879 76398820 106958348 107240560 133697935 145157758 152797640 213916696 267395870 290315516 305595280 362894395 427833392 508052153 534791740 580631032 725788790 1016104306 1069583480 1161262064 1451577580 2032208612 2139166960 2540260765 2903155160 4064417224 5080521530 5806310320 8128834448 10161043060 20322086120 40644172240