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2414442214140 = 2235119913691469
BaseRepresentation
bin100011001000100111111…
…110000111001011111100
322112211002121222201021220
4203020213332013023330
5304024234201323030
65045102431553340
7336303062125455
oct43104776071374
98484077881256
102414442214140
11850a6075a450
1232bb2798b850
131468b0cb3448
1484c06b5c12c
1542c1275aa10
hex23227f872fc

2414442214140 has 96 divisors (see below), whose sum is σ = 7382467491840. Its totient is φ = 584728531200.

The previous prime is 2414442214139. The next prime is 2414442214141. The reversal of 2414442214140 is 414122444142.

It is an interprime number because it is at equal distance from previous prime (2414442214139) and next prime (2414442214141).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414442214141) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1191675 + ... + 2499794.

It is an arithmetic number, because the mean of its divisors is an integer number (76900703040).

Almost surely, 22414442214140 is an apocalyptic number.

2414442214140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414442214140 is an abundant number, since it is smaller than the sum of its proper divisors (4968025277700).

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

2414442214140 is a wasteful number, since it uses less digits than its factorization.

2414442214140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692483 (or 3692481 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 33.

Adding to 2414442214140 its reverse (414122444142), we get a palindrome (2828564658282).

The spelling of 2414442214140 in words is "two trillion, four hundred fourteen billion, four hundred forty-two million, two hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 991 1982 2973 3964 4955 5946 9910 10901 11892 14865 19820 21802 29730 32703 43604 54505 59460 65406 109010 130812 163515 218020 327030 654060 3691469 7382938 11074407 14765876 18457345 22148814 36914690 40606159 44297628 55372035 73829380 81212318 110744070 121818477 162424636 203030795 221488140 243636954 406061590 487273908 609092385 812123180 1218184770 2436369540 3658245779 7316491558 10974737337 14632983116 18291228895 21949474674 36582457790 40240703569 43898949348 54873686685 73164915580 80481407138 109747373370 120722110707 160962814276 201203517845 219494746740 241444221414 402407035690 482888442828 603610553535 804814071380 1207221107070 2414442214140