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2143221552414 = 2323747263260339
BaseRepresentation
bin11111001100000001111…
…101011001010100011110
321120220000210110112211100
4133030001331121110132
5240103304204134124
64320325443533530
7310562012420325
oct37140175312436
97526023415740
102143221552414
11756a31768a38
122a745468a2a6
1312714969caa7
1475a37cb70bc
153ab3b9581c9
hex1f301f5951e

2143221552414 has 96 divisors (see below), whose sum is σ = 4889160207360. Its totient is φ = 677720212416.

The previous prime is 2143221552397. The next prime is 2143221552431. The reversal of 2143221552414 is 4142551223412.

2143221552414 is a `hidden beast` number, since 2 + 1 + 43 + 2 + 21 + 552 + 41 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2143221552397) and next prime (2143221552431).

It is a super-3 number, since 3×21432215524143 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8102257 + ... + 8362595.

It is an arithmetic number, because the mean of its divisors is an integer number (50928752160).

Almost surely, 22143221552414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2143221552414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444580103680).

2143221552414 is an abundant number, since it is smaller than the sum of its proper divisors (2745938654946).

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

2143221552414 is a wasteful number, since it uses less digits than its factorization.

2143221552414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260694 (or 260691 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 2143221552414 its reverse (4142551223412), we get a palindrome (6285772775826).

The spelling of 2143221552414 in words is "two trillion, one hundred forty-three billion, two hundred twenty-one million, five hundred fifty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 37 47 74 94 111 141 222 263 282 333 423 526 666 789 846 1578 1739 2367 3478 4734 5217 9731 10434 12361 15651 19462 24722 29193 31302 37083 58386 74166 87579 111249 175158 222498 260339 457357 520678 781017 914714 1372071 1562034 2343051 2744142 4116213 4686102 8232426 9632543 12235933 19265086 24471866 28897629 36707799 57795258 68469157 73415598 86692887 110123397 136938314 173385774 205407471 220246794 410814942 452729521 616222413 905459042 1232444826 1358188563 2533358809 2716377126 3218050379 4074565689 5066717618 6436100758 7600076427 8149131378 9654151137 15200152854 19308302274 22800229281 28962453411 45600458562 57924906822 119067864023 238135728046 357203592069 714407184138 1071610776207 2143221552414