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1014112152440 = 235311013807337
BaseRepresentation
bin11101100000111011100…
…10110110101101111000
310120221121012221001021122
432300131302312231320
5113103400202334230
62053513210524412
7133160434032422
oct16603562665570
93527535831248
101014112152440
1136109a9659a2
12144660136708
1374826bb46ba
1437124795812
151b5a564ebe5
hexec1dcb6b78

1014112152440 has 64 divisors (see below), whose sum is σ = 2357685308160. Its totient is φ = 392171535360.

The previous prime is 1014112152439. The next prime is 1014112152479. The reversal of 1014112152440 is 442512114101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 852452 + ... + 1659788.

It is an arithmetic number, because the mean of its divisors is an integer number (36838832940).

Almost surely, 21014112152440 is an apocalyptic number.

1014112152440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014112152440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178842654080).

1014112152440 is an abundant number, since it is smaller than the sum of its proper divisors (1343573155720).

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

1014112152440 is a wasteful number, since it uses less digits than its factorization.

1014112152440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808392 (or 808388 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

Adding to 1014112152440 its reverse (442512114101), we get a palindrome (1456624266541).

The spelling of 1014112152440 in words is "one trillion, fourteen billion, one hundred twelve million, one hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1013 1240 2026 4052 5065 8104 10130 20260 31403 40520 62806 125612 157015 251224 314030 628060 807337 1256120 1614674 3229348 4036685 6458696 8073370 16146740 25027447 32293480 50054894 100109788 125137235 200219576 250274470 500548940 817832381 1001097880 1635664762 3271329524 4089161905 6542659048 8178323810 16356647620 25352803811 32713295240 50705607622 101411215244 126764019055 202822430488 253528038110 507056076220 1014112152440