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40406126640 = 24351131493721
BaseRepresentation
bin100101101000011001…
…001001000000110000
310212021222020220111220
4211220121021000300
51130222432023030
630321243305040
72630205260325
oct455031110060
9125258226456
1040406126640
1116155228aa0
1279b7b1b180
133a6c25a699
141d544c8b4c
1510b74aaa10
hex968649030

40406126640 has 160 divisors (see below), whose sum is σ = 141054400512. Its totient is φ = 9479424000.

The previous prime is 40406126627. The next prime is 40406126641. The reversal of 40406126640 is 4662160404.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (40406126641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165021 + ... + 328700.

Almost surely, 240406126640 is an apocalyptic number.

40406126640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40406126640 is an abundant number, since it is smaller than the sum of its proper divisors (100648273872).

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

40406126640 is a wasteful number, since it uses less digits than its factorization.

40406126640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493779 (or 493773 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 40406126640 in words is "forty billion, four hundred six million, one hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 33 40 44 48 55 60 62 66 80 88 93 110 120 124 132 155 165 176 186 220 240 248 264 310 330 341 372 440 465 496 528 620 660 682 744 880 930 1023 1240 1320 1364 1488 1705 1860 2046 2480 2640 2728 3410 3720 4092 5115 5456 6820 7440 8184 10230 13640 16368 20460 27280 40920 81840 493721 987442 1481163 1974884 2468605 2962326 3949768 4937210 5430931 5924652 7405815 7899536 9874420 10861862 11849304 14811630 15305351 16292793 19748840 21723724 23698608 27154655 29623260 30610702 32585586 39497680 43447448 45916053 54309310 59246520 61221404 65171172 76526755 81463965 86894896 91832106 108618620 118493040 122442808 130342344 153053510 162927930 168358861 183664212 217237240 229580265 244885616 260684688 306107020 325855860 336717722 367328424 434474480 459160530 505076583 612214040 651711720 673435444 734656848 841794305 918321060 1010153166 1224428080 1303423440 1346870888 1683588610 1836642120 2020306332 2525382915 2693741776 3367177220 3673284240 4040612664 5050765830 6734354440 8081225328 10101531660 13468708880 20203063320 40406126640