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2115422340240 = 2435111009794149
BaseRepresentation
bin11110110010001000111…
…111110100010010010000
321111020021102100020210110
4132302020333310102100
5234124341104341430
64255451150201320
7305556065131446
oct36621077642220
97436242306713
102115422340240
11746166842420
122a1b967b3240
13124639253b11
147455bc72b96
153a0611547b0
hex1ec88ff4490

2115422340240 has 160 divisors (see below), whose sum is σ = 7161072912000. Its totient is φ = 512320757760.

The previous prime is 2115422340217. The next prime is 2115422340253. The reversal of 2115422340240 is 420432245112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2115422340198 and 2115422340207.

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, 2266686 + ... + 3060834.

It is an arithmetic number, because the mean of its divisors is an integer number (44756705700).

Almost surely, 22115422340240 is an apocalyptic number.

2115422340240 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 2115422340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580536456000).

2115422340240 is an abundant number, since it is smaller than the sum of its proper divisors (5045650571760).

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

2115422340240 is a wasteful number, since it uses less digits than its factorization.

2115422340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795185 (or 795179 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 2115422340240 its reverse (420432245112), we get a palindrome (2535854585352).

The spelling of 2115422340240 in words is "two trillion, one hundred fifteen billion, four hundred twenty-two million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1009 1320 2018 2640 3027 4036 5045 6054 8072 10090 11099 12108 15135 16144 20180 22198 24216 30270 33297 40360 44396 48432 55495 60540 66594 80720 88792 110990 121080 133188 166485 177584 221980 242160 266376 332970 443960 532752 665940 794149 887920 1331880 1588298 2382447 2663760 3176596 3970745 4764894 6353192 7941490 8735639 9529788 11912235 12706384 15882980 17471278 19059576 23824470 26206917 31765960 34942556 38119152 43678195 47648940 52413834 63531920 69885112 87356390 95297880 104827668 131034585 139770224 174712780 190595760 209655336 262069170 349425560 419310672 524138340 698851120 801296341 1048276680 1602592682 2096553360 2403889023 3205185364 4006481705 4807778046 6410370728 8012963410 8814259751 9615556092 12019445115 12820741456 16025926820 17628519502 19231112184 24038890230 26442779253 32051853640 35257039004 38462224368 44071298755 48077780460 52885558506 64103707280 70514078008 88142597510 96155560920 105771117012 132213896265 141028156016 176285195020 192311121840 211542234024 264427792530 352570390040 423084468048 528855585060 705140780080 1057711170120 2115422340240