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40031371743140 = 225151239521106453
BaseRepresentation
bin10010001101000100001111…
…01100010100111110100100
312020201221222010101200112002
421012202013230110332210
520221333222131240030
6221050054105344432
711301112465336511
oct1106420754247644
9166657863350462
1040031371743140
1111834233808018
1245a6421498118
131944c32bc689b
149c5758b9c308
15496493ea8245
hex246887b14fa4

40031371743140 has 96 divisors (see below), whose sum is σ = 85140580654080. Its totient is φ = 15809399424000.

The previous prime is 40031371743107. The next prime is 40031371743157. The reversal of 40031371743140 is 4134717313004.

It is a happy number.

It is a super-3 number, since 3×400313717431403 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40031371743094 and 40031371743103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375994154 + ... + 376100606.

It is an arithmetic number, because the mean of its divisors is an integer number (886881048480).

Almost surely, 240031371743140 is an apocalyptic number.

It is an amenable number.

40031371743140 is an abundant number, since it is smaller than the sum of its proper divisors (45109208910940).

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

40031371743140 is a wasteful number, since it uses less digits than its factorization.

40031371743140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107373 (or 107371 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The spelling of 40031371743140 in words is "forty trillion, thirty-one billion, three hundred seventy-one million, seven hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 151 239 302 478 521 604 755 956 1042 1195 1510 2084 2390 2605 3020 4780 5210 10420 36089 72178 78671 106453 124519 144356 157342 180445 212906 249038 314684 360890 393355 425812 498076 532265 622595 721780 786710 1064530 1245190 1573420 2129060 2490380 16074403 18802369 25442267 32148806 37604738 50884534 55462013 64297612 75209476 80372015 94011845 101769068 110924026 127211335 160744030 188023690 221848052 254422670 277310065 321488060 376047380 508845340 554620130 1109240260 3841782317 7683564634 8374763963 13255421107 15367129268 16749527926 19208911585 26510842214 33499055852 38417823170 41873819815 53021684428 66277105535 76835646340 83747639630 132554211070 167495279260 265108422140 2001568587157 4003137174314 8006274348628 10007842935785 20015685871570 40031371743140