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40696134000 = 2435312753407
BaseRepresentation
bin100101111001101011…
…011011100101110000
310220001011221210211020
4211321223123211300
51131321202242000
630410123215440
72640326300664
oct457153334560
9126034853736
1040696134000
11162939a78a5
127a79077580
133ab736a082
141d80c1a8a4
1510d2b93ba0
hex979adb970

40696134000 has 160 divisors (see below), whose sum is σ = 132239917056. Its totient is φ = 10766649600.

The previous prime is 40696133993. The next prime is 40696134047. The reversal of 40696134000 is 43169604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735297 + ... + 788703.

Almost surely, 240696134000 is an apocalyptic number.

40696134000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40696134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66119958528).

40696134000 is an abundant number, since it is smaller than the sum of its proper divisors (91543783056).

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

40696134000 is a wasteful number, since it uses less digits than its factorization.

40696134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53560 (or 53544 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 40696134000 in words is "forty billion, six hundred ninety-six million, one hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 127 150 200 240 250 254 300 375 381 400 500 508 600 635 750 762 1000 1016 1200 1270 1500 1524 1905 2000 2032 2540 3000 3048 3175 3810 5080 6000 6096 6350 7620 9525 10160 12700 15240 15875 19050 25400 30480 31750 38100 47625 50800 53407 63500 76200 95250 106814 127000 152400 160221 190500 213628 254000 267035 320442 381000 427256 534070 640884 762000 801105 854512 1068140 1281768 1335175 1602210 2136280 2563536 2670350 3204420 4005525 4272560 5340700 6408840 6675875 6782689 8011050 10681400 12817680 13351750 13565378 16022100 20027625 20348067 21362800 26703500 27130756 32044200 33913445 40055250 40696134 53407000 54261512 64088400 67826890 80110500 81392268 101740335 106814000 108523024 135653780 160221000 162784536 169567225 203480670 271307560 320442000 325569072 339134450 406961340 508701675 542615120 678268900 813922680 847836125 1017403350 1356537800 1627845360 1695672250 2034806700 2543508375 2713075600 3391344500 4069613400 5087016750 6782689000 8139226800 10174033500 13565378000 20348067000 40696134000