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1144201412220 = 2235791109217667
BaseRepresentation
bin10000101001100111101…
…101111111111001111100
311001101101100211011022020
4100221213231333321330
5122221311030142340
62233345555120140
7145444243350366
oct20514755777174
94041340734266
101144201412220
11401286960239
121659068a3050
1383b8940c269
143d545a57d36
151eb6b2459d0
hex10a67b7fe7c

1144201412220 has 96 divisors (see below), whose sum is σ = 3247258291200. Its totient is φ = 300985062144.

The previous prime is 1144201412177. The next prime is 1144201412269. The reversal of 1144201412220 is 222141024411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5147827 + ... + 5365493.

It is an arithmetic number, because the mean of its divisors is an integer number (33825607200).

Almost surely, 21144201412220 is an apocalyptic number.

1144201412220 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 1144201412220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623629145600).

1144201412220 is an abundant number, since it is smaller than the sum of its proper divisors (2103056878980).

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

1144201412220 is a wasteful number, since it uses less digits than its factorization.

1144201412220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218867 (or 218865 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1144201412220 its reverse (222141024411), we get a palindrome (1366342436631).

The spelling of 1144201412220 in words is "one trillion, one hundred forty-four billion, two hundred one million, four hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1109 1185 1580 2218 2370 3327 4436 4740 5545 6654 11090 13308 16635 22180 33270 66540 87611 175222 217667 262833 350444 435334 438055 525666 653001 870668 876110 1051332 1088335 1306002 1314165 1752220 2176670 2612004 2628330 3265005 4353340 5256660 6530010 13060020 17195693 34391386 51587079 68782772 85978465 103174158 171956930 206348316 241392703 257935395 343913860 482785406 515870790 724178109 965570812 1031741580 1206963515 1448356218 2413927030 2896712436 3620890545 4827854060 7241781090 14483562180 19070023537 38140047074 57210070611 76280094148 95350117685 114420141222 190700235370 228840282444 286050353055 381400470740 572100706110 1144201412220