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40697123040 = 2532574037413
BaseRepresentation
bin100101111001101111…
…001101000011100000
310220001020211001112100
4211321233031003200
51131321430414130
630410200330400
72640340560330
oct457157150340
9126036731470
1040697123040
1116294512992
127a79473a00
133ab76252c2
141d80dd70c0
1510d2cdbc60
hex979bcd0e0

40697123040 has 144 divisors (see below), whose sum is σ = 158718819168. Its totient is φ = 9302197248.

The previous prime is 40697123029. The next prime is 40697123053. The reversal of 40697123040 is 4032179604.

40697123040 is a `hidden beast` number, since 406 + 97 + 123 + 0 + 40 = 666.

40697123040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40697122986 and 40697123004.

It is a congruent number.

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, 2008627 + ... + 2028786.

It is an arithmetic number, because the mean of its divisors is an integer number (1102214022).

Almost surely, 240697123040 is an apocalyptic number.

40697123040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40697123040 is an abundant number, since it is smaller than the sum of its proper divisors (118021696128).

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

40697123040 is a wasteful number, since it uses less digits than its factorization.

40697123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037441 (or 4037430 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 40697123040 in words is "forty billion, six hundred ninety-seven million, one hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 4037413 8074826 12112239 16149652 20187065 24224478 28261891 32299304 36336717 40374130 48448956 56523782 60561195 64598608 72673434 80748260 84785673 96897912 113047564 121122390 129197216 141309455 145346868 161496520 169571346 181683585 193795824 226095128 242244780 254357019 282618910 290693736 322993040 339142692 363367170 387591648 423928365 452190256 484489560 508714038 565237820 581387472 645986080 678285384 726734340 847856730 904380512 968979120 1017428076 1130475640 1162774944 1271785095 1356570768 1453468680 1695713460 1937958240 2034856152 2260951280 2543570190 2713141536 2906937360 3391426920 4069712304 4521902560 5087140380 5813874720 6782853840 8139424608 10174280760 13565707680 20348561520 40697123040