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13181402640 = 243578394531
BaseRepresentation
bin11000100011010110…
…00011111000010000
31021000122010122002210
430101223003320100
5203443414341030
610015551112120
7644435034210
oct142153037020
937018118083
1013181402640
11565461599a
12267a512640
131320b47143
148d08aa240
15522335bb0
hex311ac3e10

13181402640 has 160 divisors (see below), whose sum is σ = 47262974976. Its totient is φ = 2976560640.

The previous prime is 13181402623. The next prime is 13181402657. The reversal of 13181402640 is 4620418131.

It is an interprime number because it is at equal distance from previous prime (13181402623) and next prime (13181402657).

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 = 13181402598 and 13181402607.

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, 92175 + ... + 186705.

Almost surely, 213181402640 is an apocalyptic number.

13181402640 is a gapful number since it is divisible by the number (10) 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 13181402640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23631487488).

13181402640 is an abundant number, since it is smaller than the sum of its proper divisors (34081572336).

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

13181402640 is a wasteful number, since it uses less digits than its factorization.

13181402640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94637 (or 94631 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 13181402640 in words is "thirteen billion, one hundred eighty-one million, four hundred two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 83 84 105 112 120 140 166 168 210 240 249 280 332 336 415 420 498 560 581 664 830 840 996 1162 1245 1328 1660 1680 1743 1992 2324 2490 2905 3320 3486 3984 4648 4980 5810 6640 6972 8715 9296 9960 11620 13944 17430 19920 23240 27888 34860 46480 69720 94531 139440 189062 283593 378124 472655 567186 661717 756248 945310 1134372 1323434 1417965 1512496 1890620 1985151 2268744 2646868 2835930 3308585 3781240 3970302 4537488 5293736 5671860 6617170 7562480 7846073 7940604 9925755 10587472 11343720 13234340 15692146 15881208 19851510 22687440 23538219 26468680 31384292 31762416 39230365 39703020 47076438 52937360 54922511 62768584 78460730 79406040 94152876 109845022 117691095 125537168 156921460 158812080 164767533 188305752 219690044 235382190 274612555 313842920 329535066 376611504 439380088 470764380 549225110 627685840 659070132 823837665 878760176 941528760 1098450220 1318140264 1647675330 1883057520 2196900440 2636280528 3295350660 4393800880 6590701320 13181402640