Search a number
-
+
1123141641240 = 233519492605983
BaseRepresentation
bin10000010110000000011…
…101010110010000011000
310222101000200010221120110
4100112000131112100120
5121400143230004430
62215544131124320
7144100332301233
oct20260035262030
93871020127513
101123141641240
113a335a1a3633
12161809a436a0
1381bb12ca808
143c508b0641a
151e33743d7b0
hex10580756418

1123141641240 has 64 divisors (see below), whose sum is σ = 3546763084800. Its totient is φ = 283741045632.

The previous prime is 1123141641179. The next prime is 1123141641269. The reversal of 1123141641240 is 421461413211.

It is a super-2 number, since 2×11231416412402 (a number of 25 digits) contains 22 as substring.

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 = 1123141641198 and 1123141641207.

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, 246300712 + ... + 246305271.

It is an arithmetic number, because the mean of its divisors is an integer number (55418173200).

Almost surely, 21123141641240 is an apocalyptic number.

1123141641240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123141641240 is an abundant number, since it is smaller than the sum of its proper divisors (2423621443560).

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

1123141641240 is a wasteful number, since it uses less digits than its factorization.

1123141641240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492606016 (or 492606012 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

It can be divided in two parts, 1123141 and 641240, that added together give a triangular number (1764381 = T1878).

The spelling of 1123141641240 in words is "one trillion, one hundred twenty-three billion, one hundred forty-one million, six hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 492605983 985211966 1477817949 1970423932 2463029915 2955635898 3940847864 4926059830 5911271796 7389089745 9359513677 9852119660 11822543592 14778179490 18719027354 19704239320 28078541031 29556358980 37438054708 46797568385 56157082062 59112717960 74876109416 93595136770 112314164124 140392705155 187190273540 224628328248 280785410310 374380547080 561570820620 1123141641240