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40268781480 = 23355920692749
BaseRepresentation
bin100101100000001101…
…001101011110101000
310211221101211001101010
4211200031031132220
51124432302001410
630255455423520
72623616665164
oct454015153650
9124841731333
1040268781480
111609474a5a4
127979b24ba0
133a4996c865
141d40175ca4
1510aa3cac20
hex96034d7a8

40268781480 has 128 divisors (see below), whose sum is σ = 122958000000. Its totient is φ = 10547395584.

The previous prime is 40268781347. The next prime is 40268781521. The reversal of 40268781480 is 8418786204.

It is a super-3 number, since 3×402687814803 (a number of 33 digits) contains 333 as substring.

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, 14647146 + ... + 14649894.

It is an arithmetic number, because the mean of its divisors is an integer number (960609375).

Almost surely, 240268781480 is an apocalyptic number.

40268781480 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 40268781480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61479000000).

40268781480 is an abundant number, since it is smaller than the sum of its proper divisors (82689218520).

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

40268781480 is a wasteful number, since it uses less digits than its factorization.

40268781480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4891 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 40268781480 in words is "forty billion, two hundred sixty-eight million, seven hundred eighty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2069 2360 2749 3540 4138 5498 6207 7080 8247 8276 10345 10996 12414 13745 16494 16552 20690 21992 24828 27490 31035 32988 41235 41380 49656 54980 62070 65976 82470 82760 109960 122071 124140 162191 164940 244142 248280 324382 329880 366213 486573 488284 610355 648764 732426 810955 973146 976568 1220710 1297528 1464852 1621910 1831065 1946292 2432865 2441420 2929704 3243820 3662130 3892584 4865730 4882840 5687681 6487640 7324260 9731460 11375362 14648520 17063043 19462920 22750724 28438405 34126086 45501448 56876810 68252172 85315215 113753620 136504344 170630430 227507240 335573179 341260860 671146358 682521720 1006719537 1342292716 1677865895 2013439074 2684585432 3355731790 4026878148 5033597685 6711463580 8053756296 10067195370 13422927160 20134390740 40268781480