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40040826240 = 2735171226741
BaseRepresentation
bin100101010010100111…
…101000010110000000
310211100111212201120110
4211102213220112000
51124000422414430
630221113511320
72615151256512
oct452247502600
9124314781513
1040040826240
1115a88003438
127915712540
133a116781bc
141d1bb97bb2
15109539d7b0
hex9529e8580

40040826240 has 128 divisors (see below), whose sum is σ = 135137898720. Its totient is φ = 10049454080.

The previous prime is 40040826151. The next prime is 40040826277. The reversal of 40040826240 is 4262804004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40040826198 and 40040826207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580731 + ... + 646010.

Almost surely, 240040826240 is an apocalyptic number.

40040826240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40040826240 is an abundant number, since it is smaller than the sum of its proper divisors (95097072480).

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

40040826240 is a wasteful number, since it uses less digits than its factorization.

40040826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226780 (or 1226768 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 40040826240 in words is "forty billion, forty million, eight hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 10880 16320 32640 1226741 2453482 3680223 4906964 6133705 7360446 9813928 12267410 14720892 18401115 19627856 20854597 24534820 29441784 36802230 39255712 41709194 49069640 58883568 62563791 73604460 78511424 83418388 98139280 104272985 117767136 125127582 147208920 157022848 166836776 196278560 208545970 235534272 250255164 294417840 312818955 333673552 392557120 417091940 471068544 500510328 588835680 625637910 667347104 785114240 834183880 1001020656 1177671360 1251275820 1334694208 1668367760 2002041312 2355342720 2502551640 2669388416 3336735520 4004082624 5005103280 6673471040 8008165248 10010206560 13346942080 20020413120 40040826240