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100394984448 = 2103211990323
BaseRepresentation
bin101110110000000000…
…0011110010000000000
3100121010200212122001100
41131200000132100000
53121102104000243
6114042032534400
710152611200443
oct1354000362000
9317120778040
10100394984448
1139639395830
121755a0b1400
13960c5b6155
144c056bb65a
152928c5c0d3
hex176001e400

100394984448 has 132 divisors (see below), whose sum is σ = 316242143568. Its totient is φ = 30422691840.

The previous prime is 100394984381. The next prime is 100394984489. The reversal of 100394984448 is 844489493001.

100394984448 is a `hidden beast` number, since 100 + 3 + 9 + 4 + 98 + 4 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 100394984394 and 100394984403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393786 + ... + 596537.

Almost surely, 2100394984448 is an apocalyptic number.

100394984448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100394984448 is an abundant number, since it is smaller than the sum of its proper divisors (215847159120).

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

100394984448 is a wasteful number, since it uses less digits than its factorization.

100394984448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990360 (or 990339 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 100394984448 in words is "one hundred billion, three hundred ninety-four million, nine hundred eighty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2112 2304 2816 3072 3168 4224 4608 5632 6336 8448 9216 11264 12672 16896 25344 33792 50688 101376 990323 1980646 2970969 3961292 5941938 7922584 8912907 10893553 11883876 15845168 17825814 21787106 23767752 31690336 32680659 35651628 43574212 47535504 63380672 65361318 71303256 87148424 95071008 98041977 126761344 130722636 142606512 174296848 190142016 196083954 253522688 261445272 285213024 348593696 380284032 392167908 507045376 522890544 570426048 697187392 760568064 784335816 1014090752 1045781088 1140852096 1394374784 1521136128 1568671632 2091562176 2281704192 2788749568 3042272256 3137343264 4183124352 4563408384 5577499136 6274686528 8366248704 9126816768 11154998272 12549373056 16732497408 25098746112 33464994816 50197492224 100394984448