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1144132113040 = 245722312690019
BaseRepresentation
bin10000101001100011100…
…101101001001010010000
311001101012112102101200221
4100221203211221022100
5122221140310104130
62233335041522424
7145442442333100
oct20514345511220
94041175371627
101144132113040
11401250828794
121658a7643414
1383b77c57727
143d53a779200
151eb6510787a
hex10a63969290

1144132113040 has 120 divisors (see below), whose sum is σ = 3228950208960. Its totient is φ = 375218452224.

The previous prime is 1144132112969. The next prime is 1144132113049. The reversal of 1144132113040 is 403112314411.

It is a junction number, because it is equal to n+sod(n) for n = 1144132112996 and 1144132113014.

It is not an unprimeable number, because it can be changed into a prime (1144132113049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6254850 + ... + 6435169.

It is an arithmetic number, because the mean of its divisors is an integer number (26907918408).

Almost surely, 21144132113040 is an apocalyptic number.

1144132113040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144132113040 is an abundant number, since it is smaller than the sum of its proper divisors (2084818095920).

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

1144132113040 is a wasteful number, since it uses less digits than its factorization.

1144132113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12690069 (or 12690056 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 1144132113040 its reverse (403112314411), we get a palindrome (1547244427451).

The spelling of 1144132113040 in words is "one trillion, one hundred forty-four billion, one hundred thirty-two million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 49 56 70 80 92 98 112 115 140 161 184 196 230 245 280 322 368 392 460 490 560 644 784 805 920 980 1127 1288 1610 1840 1960 2254 2576 3220 3920 4508 5635 6440 9016 11270 12880 18032 22540 45080 90160 12690019 25380038 50760076 63450095 88830133 101520152 126900190 177660266 203040304 253800380 291870437 355320532 444150665 507600760 583740874 621810931 710641064 888301330 1015201520 1167481748 1243621862 1421282128 1459352185 1776602660 2043093059 2334963496 2487243724 2918704370 3109054655 3553205320 4086186118 4669926992 4974487448 5837408740 6218109310 7106410640 8172372236 9948974896 10215465295 11674817480 12436218620 14301651413 16344744472 20430930590 23349634960 24872437240 28603302826 32689488944 40861861180 49744874480 57206605652 71508257065 81723722360 114413211304 143016514130 163447444720 228826422608 286033028260 572066056520 1144132113040