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4401402444414 = 23217371123346169
BaseRepresentation
bin100000000001100100000…
…0001110111101001111110
3120120202210022012121222200
41000003020001313221332
51034103033011210124
613205550521252330
7632663566330263
oct100031001675176
916522708177880
104401402444414
111447695a32238
125b10309340a6
1325c086b60031
1411305988d26a
1579755a7cbc9
hex400c8077a7e

4401402444414 has 96 divisors (see below), whose sum is σ = 10379500354080. Its totient is φ = 1342312114176.

The previous prime is 4401402444347. The next prime is 4401402444419. The reversal of 4401402444414 is 4144442041044.

4401402444414 is a `hidden beast` number, since 4 + 40 + 140 + 24 + 44 + 414 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4401402444419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12541522 + ... + 12887690.

It is an arithmetic number, because the mean of its divisors is an integer number (108119795355).

Almost surely, 24401402444414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4401402444414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189750177040).

4401402444414 is an abundant number, since it is smaller than the sum of its proper divisors (5978097909666).

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

4401402444414 is a wasteful number, since it uses less digits than its factorization.

4401402444414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347354 (or 347351 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 4401402444414 its reverse (4144442041044), we get a palindrome (8545844485458).

The spelling of 4401402444414 in words is "four trillion, four hundred one billion, four hundred two million, four hundred forty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1123 1258 1887 2246 3369 3774 5661 6738 10107 11322 19091 20214 38182 41551 57273 83102 114546 124653 171819 249306 343638 346169 373959 692338 706367 747918 1038507 1412734 2077014 2119101 3115521 4238202 5884873 6231042 6357303 11769746 12714606 12808253 17654619 25616506 35309238 38424759 52963857 76849518 105927714 115274277 217740301 230548554 388747787 435480602 653220903 777495574 1166243361 1306441806 1959662709 2332486722 3498730083 3919325418 6608712379 6997460166 13217424758 14383668119 19826137137 28767336238 39652274274 43151004357 59478411411 86302008714 118956822822 129453013071 244522358023 258906026142 489044716046 733567074069 1467134148138 2200701222207 4401402444414