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254745073140 = 223561173340163
BaseRepresentation
bin1110110100111111111…
…1010101010111110100
3220100112121210112202220
43231033333111113310
513133204214320030
6313010035002340
724255551252145
oct3551777252764
9810477715686
10254745073140
1199044a529a8
12414557393b0
131b03a17168c
14c488ab3acc
15695e6b6a10
hex3b4ffd55f4

254745073140 has 96 divisors (see below), whose sum is σ = 725415820416. Its totient is φ = 66778160640.

The previous prime is 254745073139. The next prime is 254745073171. The reversal of 254745073140 is 41370547452.

It is a junction number, because it is equal to n+sod(n) for n = 254745073092 and 254745073101.

It is a congruent number.

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, 6322699 + ... + 6362861.

It is an arithmetic number, because the mean of its divisors is an integer number (7556414796).

Almost surely, 2254745073140 is an apocalyptic number.

254745073140 is a gapful number since it is divisible by the number (20) 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 254745073140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362707910208).

254745073140 is an abundant number, since it is smaller than the sum of its proper divisors (470670747276).

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

254745073140 is a wasteful number, since it uses less digits than its factorization.

254745073140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41969 (or 41967 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The spelling of 254745073140 in words is "two hundred fifty-four billion, seven hundred forty-five million, seventy-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1733 1830 3466 3660 5199 6932 8665 10398 17330 20796 25995 34660 40163 51990 80326 103980 105713 120489 160652 200815 211426 240978 317139 401630 422852 481956 528565 602445 634278 803260 1057130 1204890 1268556 1585695 2114260 2409780 2449943 3171390 4899886 6342780 7349829 9799772 12249715 14699658 24499430 29399316 36749145 48998860 69602479 73498290 139204958 146996580 208807437 278409916 348012395 417614874 696024790 835229748 1044037185 1392049580 2088074370 4176148740 4245751219 8491502438 12737253657 16983004876 21228756095 25474507314 42457512190 50949014628 63686268285 84915024380 127372536570 254745073140