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40214781744732 = 2234752134033369
BaseRepresentation
bin10010010010011001110111…
…10001111101011001011100
312021101111101021200010120000
421021030323301331121130
520232334333111312412
6221310225442254300
711320264531541310
oct1111147361753134
9167344337603500
1040214781744732
11118a4aa1996931
124615a89057390
13195931215644a
149d0597809b40
1549b12ac424dc
hex24933bc7d65c

40214781744732 has 120 divisors (see below), whose sum is σ = 120378480092640. Its totient is φ = 11467883681280.

The previous prime is 40214781744703. The next prime is 40214781744749. The reversal of 40214781744732 is 23744718741204.

40214781744732 is a `hidden beast` number, since 4 + 0 + 21 + 4 + 7 + 81 + 74 + 473 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15835057 + ... + 18198312.

It is an arithmetic number, because the mean of its divisors is an integer number (1003154000772).

Almost surely, 240214781744732 is an apocalyptic number.

40214781744732 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40214781744732 is an abundant number, since it is smaller than the sum of its proper divisors (80163698347908).

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

40214781744732 is a wasteful number, since it uses less digits than its factorization.

40214781744732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34033913 (or 34033902 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 40214781744732 in words is "forty trillion, two hundred fourteen billion, seven hundred eighty-one million, seven hundred forty-four thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 521 567 756 1042 1134 1563 2084 2268 3126 3647 4689 6252 7294 9378 10941 14067 14588 18756 21882 28134 32823 42201 43764 56268 65646 84402 98469 131292 168804 196938 295407 393876 590814 1181628 34033369 68066738 102100107 136133476 204200214 238233583 306300321 408400428 476467166 612600642 714700749 918900963 952934332 1225201284 1429401498 1837801926 2144102247 2756702889 2858802996 3675603852 4288204494 5513405778 6432306741 8576408988 11026811556 12864613482 17731385249 19296920223 25729226964 35462770498 38593840446 53194155747 70925540996 77187680892 106388311494 124119696743 159582467241 212776622988 248239393486 319164934482 372359090229 478747401723 496478786972 638329868964 744718180458 957494803446 1117077270687 1436242205169 1489436360916 1914989606892 2234154541374 2872484410338 3351231812061 4468309082748 5744968820676 6702463624122 10053695436183 13404927248244 20107390872366 40214781744732