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40908317120 = 2651153219277
BaseRepresentation
bin100110000110010100…
…110110000111000000
310220120222012211100022
4212012110312013000
51132240012121440
630443143113012
72645513646446
oct460624660700
9126528184308
1040908317120
1116392751150
127b18142768
133b1c2cb808
141da1090b96
1510e6607cb5
hex9865361c0

40908317120 has 112 divisors (see below), whose sum is σ = 108274213728. Its totient is φ = 14595010560.

The previous prime is 40908317117. The next prime is 40908317129. The reversal of 40908317120 is 2171380904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40908317129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76922 + ... + 296198.

Almost surely, 240908317120 is an apocalyptic number.

40908317120 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 40908317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54137106864).

40908317120 is an abundant number, since it is smaller than the sum of its proper divisors (67365896608).

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

40908317120 is a wasteful number, since it uses less digits than its factorization.

40908317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219358 (or 219348 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 40908317120 in words is "forty billion, nine hundred eight million, three hundred seventeen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 64 80 88 106 110 160 176 212 220 265 320 352 424 440 530 583 704 848 880 1060 1166 1696 1760 2120 2332 2915 3392 3520 4240 4664 5830 8480 9328 11660 16960 18656 23320 37312 46640 93280 186560 219277 438554 877108 1096385 1754216 2192770 2412047 3508432 4385540 4824094 7016864 8771080 9648188 11621681 12060235 14033728 17542160 19296376 23243362 24120470 35084320 38592752 46486724 48240940 58108405 70168640 77185504 92973448 96481880 116216810 127838491 154371008 185946896 192963760 232433620 255676982 371893792 385927520 464867240 511353964 639192455 743787584 771855040 929734480 1022707928 1278384910 1859468960 2045415856 2556769820 3718937920 4090831712 5113539640 8181663424 10227079280 20454158560 40908317120