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199145843040 = 25351921836167
BaseRepresentation
bin1011100101111000000…
…1000110100101100000
3201001000211001000102110
42321132001012211200
511230322313434130
6231253014315320
720250006510324
oct2713601064540
9631024030373
10199145843040
1177503700461
1232719658b40
1315a19386a61
1498d2899984
1552a84a0ab0
hex2e5e046960

199145843040 has 96 divisors (see below), whose sum is σ = 660325720320. Its totient is φ = 50310526464.

The previous prime is 199145843023. The next prime is 199145843077. The reversal of 199145843040 is 40348541991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1991458430402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 10908964 + ... + 10927203.

It is an arithmetic number, because the mean of its divisors is an integer number (6878392920).

Almost surely, 2199145843040 is an apocalyptic number.

199145843040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199145843040 is an abundant number, since it is smaller than the sum of its proper divisors (461179877280).

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

199145843040 is a wasteful number, since it uses less digits than its factorization.

199145843040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21836204 (or 21836196 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 199145843040 in words is "one hundred ninety-nine billion, one hundred forty-five million, eight hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 21836167 43672334 65508501 87344668 109180835 131017002 174689336 218361670 262034004 327542505 349378672 414887173 436723340 524068008 655085010 698757344 829774346 873446680 1048136016 1244661519 1310170020 1659548692 1746893360 2074435865 2096272032 2489323038 2620340040 3319097384 3493786720 4148871730 4978646076 5240680080 6223307595 6638194768 8297743460 9957292152 10481360160 12446615190 13276389536 16595486920 19914584304 24893230380 33190973840 39829168608 49786460760 66381947680 99572921520 199145843040