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16840215040 = 295115691051
BaseRepresentation
bin11111010111100000…
…10100101000000000
31121110121211120011011
433223300110220000
5233442043340130
611423012130304
71134213315565
oct175360245000
947417746134
1016840215040
1171619538a0
12331b906994
131784b797ac
14b5a7a886c
1568866352a
hex3ebc14a00

16840215040 has 160 divisors (see below), whose sum is σ = 44167083840. Its totient is φ = 6107136000.

The previous prime is 16840214987. The next prime is 16840215061. The reversal of 16840215040 is 4051204861.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 16840214993 and 16840215011.

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, 16022515 + ... + 16023565.

It is an arithmetic number, because the mean of its divisors is an integer number (276044274).

Almost surely, 216840215040 is an apocalyptic number.

16840215040 is a gapful number since it is divisible by the number (10) 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 16840215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22083541920).

16840215040 is an abundant number, since it is smaller than the sum of its proper divisors (27326868800).

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

16840215040 is a wasteful number, since it uses less digits than its factorization.

16840215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 16840215040 in words is "sixteen billion, eight hundred forty million, two hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 569 640 704 880 1051 1138 1280 1408 1760 2102 2276 2560 2816 2845 3520 4204 4552 5255 5632 5690 6259 7040 8408 9104 10510 11380 11561 12518 14080 16816 18208 21020 22760 23122 25036 28160 31295 33632 36416 42040 45520 46244 50072 57805 62590 67264 72832 84080 91040 92488 100144 115610 125180 134528 145664 168160 182080 184976 200288 231220 250360 269056 291328 336320 364160 369952 400576 462440 500720 538112 598019 672640 728320 739904 801152 924880 1001440 1196038 1345280 1456640 1479808 1602304 1849760 2002880 2392076 2690560 2959616 2990095 3204608 3699520 4005760 4784152 5919232 5980190 6578209 7399040 8011520 9568304 11960380 13156418 14798080 16023040 19136608 23920760 26312836 29596160 32891045 38273216 47841520 52625672 65782090 76546432 95683040 105251344 131564180 153092864 191366080 210502688 263128360 306185728 382732160 421005376 526256720 765464320 842010752 1052513440 1530928640 1684021504 2105026880 3368043008 4210053760 8420107520 16840215040