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40004343333376 = 292912041223757
BaseRepresentation
bin10010001100010001111001…
…01011001000001000000000
312020122101012110200012121121
421012020330223020020000
520220412343343132001
6221025424105002024
711266134630550162
oct1106107453101000
9166571173605547
1040004343333376
111182382399a794
1245a1139783314
131942516379b06
149c4313282932
154959111b06a1
hex24623cac8200

40004343333376 has 80 divisors (see below), whose sum is σ = 82694015826840. Its totient is φ = 19310751416320.

The previous prime is 40004343333259. The next prime is 40004343333401. The reversal of 40004343333376 is 67333334340004.

It can be written as a sum of positive squares in 4 ways, for example, as 39160561465600 + 843781867776 = 6257840^2 + 918576^2 .

It is a super-4 number, since 4×400043433333764 (a number of 56 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178672890 + ... + 178896646.

Almost surely, 240004343333376 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 40004343333376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41347007913420).

40004343333376 is an abundant number, since it is smaller than the sum of its proper divisors (42689672493464).

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

40004343333376 is a wasteful number, since it uses less digits than its factorization.

40004343333376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235845 (or 235829 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 43.

The spelling of 40004343333376 in words is "forty trillion, four billion, three hundred forty-three million, three hundred thirty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1856 3712 7424 12041 14848 24082 48164 96328 192656 223757 349189 385312 447514 698378 770624 895028 1396756 1541248 1790056 2793512 3082496 3580112 5587024 6164992 6488953 7160224 11174048 12977906 14320448 22348096 25955812 28640896 44696192 51911624 57281792 89392384 103823248 114563584 178784768 207646496 415292992 830585984 1661171968 2694258037 3322343936 5388516074 10777032148 21554064296 43108128592 78133483073 86216257184 156266966146 172432514368 312533932292 344865028736 625067864584 689730057472 1250135729168 1379460114944 2500271458336 5000542916672 10001085833344 20002171666688 40004343333376