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248034115480000 = 265410096145543
BaseRepresentation
bin111000011001010111110001…
…010110000110100111000000
31012112012211101222020102100111
4320121113301112012213000
5230002242332030330000
62235305144415001104
7103146605414240443
oct7031276126064700
91175184358212314
10248034115480000
117203874aa52723
122399a80b509194
13a852694337a45
144536cb55db65a
151da1e0acd1cba
hexe195f15869c0

248034115480000 has 140 divisors (see below), whose sum is σ = 615653653455280. Its totient is φ = 99115301376000.

The previous prime is 248034115479989. The next prime is 248034115480027. The reversal of 248034115480000 is 84511430842.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37287229 + ... + 43432771.

Almost surely, 2248034115480000 is an apocalyptic number.

248034115480000 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 248034115480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307826826727640).

248034115480000 is an abundant number, since it is smaller than the sum of its proper divisors (367619537975280).

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

248034115480000 is an equidigital number, since it uses as much as digits as its factorization.

248034115480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6146584 (or 6146559 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 248034115480000 in words is "two hundred forty-eight trillion, thirty-four billion, one hundred fifteen million, four hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1009 1250 1600 2000 2018 2500 4000 4036 5000 5045 8000 8072 10000 10090 16144 20000 20180 25225 32288 40000 40360 50450 64576 80720 100900 126125 161440 201800 252250 322880 403600 504500 630625 807200 1009000 1261250 1614400 2018000 2522500 4036000 5045000 6145543 8072000 10090000 12291086 20180000 24582172 30727715 40360000 49164344 61455430 98328688 122910860 153638575 196657376 245821720 307277150 393314752 491643440 614554300 768192875 983286880 1229108600 1536385750 1966573760 2458217200 3072771500 3840964375 4916434400 6145543000 6200852887 7681928750 9832868800 12291086000 12401705774 15363857500 24582172000 24803411548 30727715000 31004264435 49164344000 49606823096 61455430000 62008528870 99213646192 122910860000 124017057740 155021322175 198427292384 245821720000 248034115480 310042644350 396854584768 496068230960 620085288700 775106610875 992136461920 1240170577400 1550213221750 1984272923840 2480341154800 3100426443500 3875533054375 4960682309600 6200852887000 7751066108750 9921364619200 12401705774000 15502132217500 24803411548000 31004264435000 49606823096000 62008528870000 124017057740000 248034115480000