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102930401448 = 23327443461009
BaseRepresentation
bin101111111011100100…
…0010100100010101000
3100211200101201011022200
41133313020110202220
53141300140321243
6115141403420200
710302465655650
oct1376710244250
9324611634280
10102930401448
113a71a58a086
1217b47224660
1399249660b4
144da630b360
152a26631ad3
hex17f72148a8

102930401448 has 96 divisors (see below), whose sum is σ = 319313966400. Its totient is φ = 29342237184.

The previous prime is 102930401437. The next prime is 102930401459. The reversal of 102930401448 is 844104039201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102930401437) and next prime (102930401459).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7233 + ... + 453776.

It is an arithmetic number, because the mean of its divisors is an integer number (3326187150).

Almost surely, 2102930401448 is an apocalyptic number.

102930401448 is a gapful number since it is divisible by the number (18) 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 102930401448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159656983200).

102930401448 is an abundant number, since it is smaller than the sum of its proper divisors (216383564952).

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

102930401448 is a wasteful number, since it uses less digits than its factorization.

102930401448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461471 (or 461464 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 102930401448 in words is "one hundred two billion, nine hundred thirty million, four hundred one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 443 504 886 1329 1772 2658 3101 3544 3987 5316 6202 7974 9303 10632 12404 15948 18606 24808 27909 31896 37212 55818 74424 111636 223272 461009 922018 1383027 1844036 2766054 3227063 3688072 4149081 5532108 6454126 8298162 9681189 11064216 12908252 16596324 19362378 25816504 29043567 33192648 38724756 58087134 77449512 116174268 204226987 232348536 408453974 612680961 816907948 1225361922 1429588909 1633815896 1838042883 2450723844 2859177818 3676085766 4288766727 4901447688 5718355636 7352171532 8577533454 11436711272 12866300181 14704343064 17155066908 25732600362 34310133816 51465200724 102930401448