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103453153040 = 2454373411967
BaseRepresentation
bin110000001011001001…
…0011101011100010000
3100220000211100200200202
41200112102131130100
53143333001344130
6115305320034332
710321444202036
oct1402622353420
9326024320622
10103453153040
113a968676096
12180723029a8
1399a9055b73
145015906556
152a57491145
hex181649d710

103453153040 has 80 divisors (see below), whose sum is σ = 249494412288. Its totient is φ = 39865125888.

The previous prime is 103453153009. The next prime is 103453153043. The reversal of 103453153040 is 40351354301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1034531530402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103453152994 and 103453153012.

It is not an unprimeable number, because it can be changed into a prime (103453153043) 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, 45137 + ... + 457103.

Almost surely, 2103453153040 is an apocalyptic number.

103453153040 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 103453153040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124747206144).

103453153040 is an abundant number, since it is smaller than the sum of its proper divisors (146041259248).

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

103453153040 is a wasteful number, since it uses less digits than its factorization.

103453153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412096 (or 412090 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The spelling of 103453153040 in words is "one hundred three billion, four hundred fifty-three million, one hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 73 80 86 146 172 215 292 344 365 430 584 688 730 860 1168 1460 1720 2920 3139 3440 5840 6278 12556 15695 25112 31390 50224 62780 125560 251120 411967 823934 1647868 2059835 3295736 4119670 6591472 8239340 16478680 17714581 30073591 32957360 35429162 60147182 70858324 88572905 120294364 141716648 150367955 177145810 240588728 283433296 300735910 354291620 481177456 601471820 708583240 1202943640 1293164413 1417166480 2405887280 2586328826 5172657652 6465822065 10345315304 12931644130 20690630608 25863288260 51726576520 103453153040