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40005673420 = 225291311812909
BaseRepresentation
bin100101010000100001…
…100010000111001100
310211021001201202222011
4211100201202013030
51123412423022140
630213420231004
72614243420246
oct452041420714
9124231652864
1040005673420
1115a6a183619
12790599b464
133a072baa0b
141d17247096
151092257cea
hex9508621cc

40005673420 has 96 divisors (see below), whose sum is σ = 88086398400. Its totient is φ = 15242572800.

The previous prime is 40005673417. The next prime is 40005673439. The reversal of 40005673420 is 2437650004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13750926 + ... + 13753834.

It is an arithmetic number, because the mean of its divisors is an integer number (917566650).

Almost surely, 240005673420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40005673420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44043199200).

40005673420 is an abundant number, since it is smaller than the sum of its proper divisors (48080724980).

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

40005673420 is a wasteful number, since it uses less digits than its factorization.

40005673420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The spelling of 40005673420 in words is "forty billion, five million, six hundred seventy-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 131 145 181 262 290 362 524 580 655 724 905 1310 1810 2620 2909 3620 3799 5249 5818 7598 10498 11636 14545 15196 18995 20996 23711 26245 29090 37990 47422 52490 58180 75980 84361 94844 104980 118555 168722 237110 337444 381079 421805 474220 526529 687619 762158 843610 1053058 1375238 1524316 1687220 1905395 2106116 2632645 2750476 3438095 3810790 5265290 6876190 7621580 10530580 11051291 13752380 15269341 22102582 30538682 44205164 55256455 61077364 68975299 76346705 110512910 137950598 152693410 221025820 275901196 305386820 344876495 689752990 1379505980 2000283671 4000567342 8001134684 10001418355 20002836710 40005673420