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2201440140144 = 2432717128468729
BaseRepresentation
bin100000000010010000000…
…011101011101101110000
321210110022011000020100100
4200002100003223231300
5242032022133441034
64403154434152400
7315022511305260
oct40022003535560
97713264006310
102201440140144
11779697627653
122b67a1a22700
1312c79704757b
147879bd317a0
153c3e7ac5099
hex200900ebb70

2201440140144 has 120 divisors (see below), whose sum is σ = 7455297339360. Its totient is φ = 591983898624.

The previous prime is 2201440140143. The next prime is 2201440140149. The reversal of 2201440140144 is 4410410441022.

It is a happy number.

2201440140144 is a `hidden beast` number, since 2 + 201 + 4 + 401 + 40 + 14 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201440140143) 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, 64217229 + ... + 64251500.

It is an arithmetic number, because the mean of its divisors is an integer number (62127477828).

Almost surely, 22201440140144 is an apocalyptic number.

2201440140144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2201440140144 is an abundant number, since it is smaller than the sum of its proper divisors (5253857199216).

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

2201440140144 is a wasteful number, since it uses less digits than its factorization.

2201440140144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128468767 (or 128468758 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 2201440140144 its reverse (4410410441022), we get a palindrome (6611850581166).

The spelling of 2201440140144 in words is "two trillion, two hundred one billion, four hundred forty million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8568 17136 128468729 256937458 385406187 513874916 770812374 899281103 1027749832 1156218561 1541624748 1798562206 2055499664 2183968393 2312437122 2697843309 3083249496 3597124412 4367936786 4624874244 5395686618 6166498992 6551905179 7194248824 8093529927 8735873572 9249748488 10791373236 13103810358 14388497648 15287778751 16187059854 17471747144 18499496976 19655715537 21582746472 26207620716 30575557502 32374119708 34943494288 39311431074 43165492944 45863336253 52415241432 61151115004 64748239416 78622862148 91726672506 104830482864 122302230008 129496478832 137590008759 157245724296 183453345012 244604460016 275180017518 314491448592 366906690024 550360035036 733813380048 1100720070072 2201440140144