Search a number
-
+
113554451255400 = 233252122861513473
BaseRepresentation
bin11001110100011011110100…
…101110101101000001101000
3112220001200212221200010220200
4121310123310232231001220
5104340434004010133100
61041302110021552200
732630016105631131
oct3164336456550150
9486050787603820
10113554451255400
1133200199414491
121089b743b75660
134b491a5c5977c
1420080c9a08c88
15d1dc2a0dee00
hex6746f4bad068

113554451255400 has 144 divisors (see below), whose sum is σ = 381357545444460. Its totient is φ = 30280881561600.

The previous prime is 113554451255389. The next prime is 113554451255491. The reversal of 113554451255400 is 4552154455311.

113554451255400 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 5 + 44 + 51 + 2 + 554 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 73009471415364 + 40544979840036 = 8544558^2 + 6367494^2 .

It is a super-3 number, since 3×1135544512554003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 220893064 + ... + 221406536.

Almost surely, 2113554451255400 is an apocalyptic number.

113554451255400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113554451255400 is an abundant number, since it is smaller than the sum of its proper divisors (267803094189060).

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

113554451255400 is a wasteful number, since it uses less digits than its factorization.

113554451255400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636356 (or 636344 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 113554451255400 in words is "one hundred thirteen trillion, five hundred fifty-four billion, four hundred fifty-one million, two hundred fifty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 122861 245722 368583 491444 513473 614305 737166 982888 1026946 1105749 1228610 1474332 1540419 1842915 2053892 2211498 2457220 2567365 2948664 3071525 3080838 3685830 4107784 4422996 4621257 4914440 5134730 5528745 6143050 6161676 7371660 7702095 8845992 9214575 9242514 10269460 11057490 12286100 12323352 12836825 14743320 15404190 18429150 18485028 20538920 22114980 23106285 24572200 25673650 27643725 30808380 36858300 36970056 38510475 44229960 46212570 51347300 55287450 61616760 73716600 77020950 92425140 102694600 110574900 115531425 154041900 184850280 221149800 231062850 308083800 462125700 924251400 63085806253 126171612506 189257418759 252343225012 315429031265 378514837518 504686450024 567772256277 630858062530 757029675036 946287093795 1135544512554 1261716125060 1514059350072 1577145156325 1892574187590 2271089025108 2523432250120 2838861281385 3154290312650 3785148375180 4542178050216 4731435468975 5677722562770 6308580625300 7570296750360 9462870937950 11355445125540 12617161250600 14194306406925 18925741875900 22710890251080 28388612813850 37851483751800 56777225627700 113554451255400