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40220133984 = 2534130111927
BaseRepresentation
bin100101011101010011…
…101000101001100000
310211211000021111120000
4211131103220221200
51124332323241414
630251001020000
72622456332562
oct453523505140
9124730244500
1040220133984
111606a242a58
127965784600
133a3c868c64
141d37911332
1510a5ebbb09
hex95d4e8a60

40220133984 has 120 divisors (see below), whose sum is σ = 118387141488. Its totient is φ = 13395283200.

The previous prime is 40220133977. The next prime is 40220134001. The reversal of 40220133984 is 48933102204.

40220133984 is a `hidden beast` number, since 40 + 2 + 201 + 339 + 84 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3366229 + ... + 3378155.

Almost surely, 240220133984 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 40220133984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59193570744).

40220133984 is an abundant number, since it is smaller than the sum of its proper divisors (78167007504).

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

40220133984 is a wasteful number, since it uses less digits than its factorization.

40220133984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13250 (or 13233 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 40220133984 in words is "forty billion, two hundred twenty million, one hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1301 2592 2602 3903 5204 7806 10408 11709 11927 15612 20816 23418 23854 31224 35127 35781 41632 46836 47708 62448 70254 71562 93672 95416 105381 107343 124896 140508 143124 187344 190832 210762 214686 281016 286248 322029 374688 381664 421524 429372 562032 572496 644058 843048 858744 966087 1124064 1144992 1288116 1686096 1717488 1932174 2576232 3372192 3434976 3864348 5152464 7728696 10304928 15457392 15517027 30914784 31034054 46551081 62068108 93102162 124136216 139653243 186204324 248272432 279306486 372408648 418959729 496544864 558612972 744817296 837919458 1117225944 1256879187 1489634592 1675838916 2234451888 2513758374 3351677832 4468903776 5027516748 6703355664 10055033496 13406711328 20110066992 40220133984