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103401014440 = 235231097511373
BaseRepresentation
bin110000001001100101…
…1100100010010101000
3100212220012020202222111
41200103023210102220
53143231124430230
6115300214332104
710320242056333
oct1402313442250
9325805222874
10103401014440
113a9411a4639
121805895a034
13999b2cc219
14500ca1361a
152a52ae292a
hex18132e44a8

103401014440 has 128 divisors (see below), whose sum is σ = 245499724800. Its totient is φ = 39118464000.

The previous prime is 103401014429. The next prime is 103401014443. The reversal of 103401014440 is 44410104301.

It is not an unprimeable number, because it can be changed into a prime (103401014443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75309594 + ... + 75310966.

It is an arithmetic number, because the mean of its divisors is an integer number (1917966600).

Almost surely, 2103401014440 is an apocalyptic number.

103401014440 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 103401014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122749862400).

103401014440 is an abundant number, since it is smaller than the sum of its proper divisors (142098710360).

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

103401014440 is a wasteful number, since it uses less digits than its factorization.

103401014440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 103401014440 its reverse (44410104301), we get a palindrome (147811118741).

The spelling of 103401014440 in words is "one hundred three billion, four hundred one million, fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 109 115 184 218 230 436 460 545 751 872 920 1090 1373 1502 2180 2507 2746 3004 3755 4360 5014 5492 6008 6865 7510 10028 10984 12535 13730 15020 17273 20056 25070 27460 30040 31579 34546 50140 54920 63158 69092 81859 86365 100280 126316 138184 149657 157895 163718 172730 252632 299314 315790 327436 345460 409295 598628 631580 654872 690920 748285 818590 1031123 1197256 1263160 1496570 1637180 1882757 2062246 2993140 3274360 3442111 3765514 4124492 5155615 5986280 6884222 7531028 8248984 9413785 10311230 13768444 15062056 17210555 18827570 20622460 23715829 27536888 34421110 37655140 41244920 47431658 68842220 75310280 94863316 112392407 118579145 137684440 189726632 224784814 237158290 449569628 474316580 561962035 899139256 948633160 1123924070 2247848140 2585025361 4495696280 5170050722 10340101444 12925126805 20680202888 25850253610 51700507220 103401014440