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40405052200 = 23522378711161
BaseRepresentation
bin100101101000010101…
…000010101100101000
310212021220020022122211
4211220111002230220
51130222143132300
630321204254504
72630163164002
oct455025025450
9125256208584
1040405052200
1116154664827
1279b76a1434
133a6bc72616
141d542c9372
1510b73474ba
hex968542b28

40405052200 has 96 divisors (see below), whose sum is σ = 98159520960. Its totient is φ = 15438297600.

The previous prime is 40405052197. The next prime is 40405052213. The reversal of 40405052200 is 225050404.

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, 3614620 + ... + 3625780.

It is an arithmetic number, because the mean of its divisors is an integer number (1022495010).

Almost surely, 240405052200 is an apocalyptic number.

40405052200 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 40405052200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49079760480).

40405052200 is an abundant number, since it is smaller than the sum of its proper divisors (57754468760).

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

40405052200 is a wasteful number, since it uses less digits than its factorization.

40405052200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11987 (or 11978 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The spelling of 40405052200 in words is "forty billion, four hundred five million, fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 787 920 1150 1574 2300 3148 3935 4600 6296 7870 11161 15740 18101 19675 22322 31480 36202 39350 44644 55805 72404 78700 89288 90505 111610 144808 157400 181010 223220 256703 279025 362020 446440 452525 513406 558050 724040 905050 1026812 1116100 1283515 1810100 2053624 2232200 2567030 3620200 5134060 6417575 8783707 10268120 12835150 17567414 25670300 35134828 43918535 51340600 70269656 87837070 175674140 202025261 219592675 351348280 404050522 439185350 808101044 878370700 1010126305 1616202088 1756741400 2020252610 4040505220 5050631525 8081010440 10101263050 20202526100 40405052200