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2211321414440 = 235836131086559
BaseRepresentation
bin100000001011011101000…
…001110000001100101000
321211101210210100222102102
4200023131001300030220
5242212241240230230
64411511140152532
7315522414614165
oct40133501601450
97741723328372
102211321414440
117828a8320246
122b869b098748
131306b0265b38
14790583cb06c
153c7c5330045
hex202dd070328

2211321414440 has 64 divisors (see below), whose sum is σ = 5043637670400. Its totient is φ = 872445226752.

The previous prime is 2211321414439. The next prime is 2211321414451. The reversal of 2211321414440 is 444141231122.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1491881 + ... + 2578439.

It is an arithmetic number, because the mean of its divisors is an integer number (78806838600).

Almost surely, 22211321414440 is an apocalyptic number.

2211321414440 is a gapful number since it is divisible by the number (20) 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 2211321414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521818835200).

2211321414440 is an abundant number, since it is smaller than the sum of its proper divisors (2832316255960).

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

2211321414440 is a wasteful number, since it uses less digits than its factorization.

2211321414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087266 (or 1087262 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 2211321414440 its reverse (444141231122), we get a palindrome (2655462645562).

The spelling of 2211321414440 in words is "two trillion, two hundred eleven billion, three hundred twenty-one million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 613 664 830 1226 1660 2452 3065 3320 4904 6130 12260 24520 50879 101758 203516 254395 407032 508790 1017580 1086559 2035160 2173118 4346236 5432795 8692472 10865590 21731180 43462360 90184397 180368794 360737588 450921985 666060667 721475176 901843970 1332121334 1803687940 2664242668 3330303335 3607375880 5328485336 6660606670 13321213340 26642426680 55283035361 110566070722 221132141444 276415176805 442264282888 552830353610 1105660707220 2211321414440