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114215152354000 = 2453241236960897
BaseRepresentation
bin11001111110000011001001…
…100101011000001011010000
3112222101212021100100111121221
4121332003021211120023100
5104432300113000312000
61042525414443254424
733025525643412115
oct3176031145301320
9488355240314557
10114215152354000
1133435412a14875
12109877b351a414
134b9659a6795a9
14202c0858c490c
15d30ee8eed61a
hex67e0c99582d0

114215152354000 has 80 divisors (see below), whose sum is σ = 277318182460176. Its totient is φ = 45496492032000.

The previous prime is 114215152353889. The next prime is 114215152354027. The reversal of 114215152354000 is 453251512411.

It can be written as a sum of positive squares in 8 ways, for example, as 12118920538176 + 102096231815824 = 3481224^2 + 10104268^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117998449 + ... + 118962448.

Almost surely, 2114215152354000 is an apocalyptic number.

114215152354000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114215152354000 is an abundant number, since it is smaller than the sum of its proper divisors (163103030106176).

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

114215152354000 is a wasteful number, since it uses less digits than its factorization.

114215152354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236961161 (or 236961145 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The spelling of 114215152354000 in words is "one hundred fourteen trillion, two hundred fifteen billion, one hundred fifty-two million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 241 250 400 482 500 964 1000 1205 1928 2000 2410 3856 4820 6025 9640 12050 19280 24100 30125 48200 60250 96400 120500 241000 482000 236960897 473921794 947843588 1184804485 1895687176 2369608970 3791374352 4739217940 5924022425 9478435880 11848044850 18956871760 23696089700 29620112125 47392179400 57107576177 59240224250 94784358800 114215152354 118480448500 228430304708 236960897000 285537880885 456860609416 473921794000 571075761770 913721218832 1142151523540 1427689404425 2284303047080 2855378808850 4568606094160 5710757617700 7138447022125 11421515235400 14276894044250 22843030470800 28553788088500 57107576177000 114215152354000