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11142623716400 = 2452113512972089
BaseRepresentation
bin1010001000100101100000…
…1000001110010000110000
31110110020001121100011100002
42202021120020032100300
52430030043132411100
635410503424445132
72230012413601511
oct242113010162060
943406047304302
1011142623716400
113606618667010
1212bb6221797a8
1362a98b740b57
142a743d41aa08
15144ca28e32d5
hexa225820e430

11142623716400 has 120 divisors (see below), whose sum is σ = 29205040244400. Its totient is φ = 4051691622400.

The previous prime is 11142623716397. The next prime is 11142623716439. The reversal of 11142623716400 is 461732624111.

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, 154531556 + ... + 154603644.

It is an arithmetic number, because the mean of its divisors is an integer number (243375335370).

Almost surely, 211142623716400 is an apocalyptic number.

11142623716400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11142623716400 is an abundant number, since it is smaller than the sum of its proper divisors (18062416528000).

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

11142623716400 is a wasteful number, since it uses less digits than its factorization.

11142623716400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107247 (or 107236 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 11142623716400 in words is "eleven trillion, one hundred forty-two billion, six hundred twenty-three million, seven hundred sixteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 35129 70258 72089 140516 144178 175645 281032 288356 351290 360445 386419 562064 576712 702580 720890 772838 792979 878225 1153424 1405160 1441780 1545676 1585958 1756450 1802225 1932095 2810320 2883560 3091352 3171916 3512900 3604450 3864190 3964895 5767120 6182704 6343832 7025800 7208900 7728380 7929790 9660475 12687664 14051600 14417800 15456760 15859580 19320950 19824475 28835600 30913520 31719160 38641900 39648950 63438320 77283800 79297900 154567600 158595800 317191600 2532414481 5064828962 10129657924 12662072405 20259315848 25324144810 27856559291 40518631696 50648289620 55713118582 63310362025 101296579240 111426237164 126620724050 139282796455 202593158480 222852474328 253241448100 278565592910 445704948656 506482896200 557131185820 696413982275 1012965792400 1114262371640 1392827964550 2228524743280 2785655929100 5571311858200 11142623716400