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220121400040 = 235223161315299
BaseRepresentation
bin1100110100000001000…
…0100000001011101000
3210001011122020201021221
43031000100200023220
512101302034300130
6245042233311424
721621546012613
oct3150020401350
9701148221257
10220121400040
1185397878933
12367b2265574
13179acbc1049
14a92256917a
155ad4bc087a
hex33404202e8

220121400040 has 64 divisors (see below), whose sum is σ = 497835072000. Its totient is φ = 87593655552.

The previous prime is 220121400007. The next prime is 220121400091. The reversal of 220121400040 is 40004121022.

220121400040 is digitally balanced in base 3, 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 = 220121399987 and 220121400023.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14380311 + ... + 14395609.

It is an arithmetic number, because the mean of its divisors is an integer number (7778673000).

Almost surely, 2220121400040 is an apocalyptic number.

220121400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220121400040 is an abundant number, since it is smaller than the sum of its proper divisors (277713671960).

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

220121400040 is a wasteful number, since it uses less digits than its factorization.

220121400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17146 (or 17142 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220121400040 its reverse (40004121022), we get a palindrome (260125521062).

The spelling of 220121400040 in words is "two hundred twenty billion, one hundred twenty-one million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 223 446 892 1115 1613 1784 2230 3226 4460 6452 8065 8920 12904 15299 16130 30598 32260 61196 64520 76495 122392 152990 305980 359699 611960 719398 1438796 1798495 2877592 3411677 3596990 6823354 7193980 13646708 14387960 17058385 24677287 27293416 34116770 49354574 68233540 98709148 123386435 136467080 197418296 246772870 493545740 987091480 5503035001 11006070002 22012140004 27515175005 44024280008 55030350010 110060700020 220121400040