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4244013101400 = 2335219372281851
BaseRepresentation
bin111101110000100010111…
…001001011000101011000
3120000201112120101121010020
4331300202321023011120
51024013214323221100
613005401145350440
7615422413102032
oct75604271130530
916021476347106
104244013101400
11139696a833336
12586627498420
1324a293727c77
141095a8992c52
15755e33c85a0
hex3dc22e4b158

4244013101400 has 96 divisors (see below), whose sum is σ = 13848884894400. Its totient is φ = 1072171728000.

The previous prime is 4244013101399. The next prime is 4244013101407. The reversal of 4244013101400 is 41013104424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4244013101407) 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, 186129526 + ... + 186152325.

It is an arithmetic number, because the mean of its divisors is an integer number (144259217650).

Almost surely, 24244013101400 is an apocalyptic number.

4244013101400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4244013101400 is an abundant number, since it is smaller than the sum of its proper divisors (9604871793000).

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

4244013101400 is a wasteful number, since it uses less digits than its factorization.

4244013101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372281889 (or 372281880 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4244013101400 its reverse (41013104424), we get a palindrome (4285026205824).

The spelling of 4244013101400 in words is "four trillion, two hundred forty-four billion, thirteen million, one hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 372281851 744563702 1116845553 1489127404 1861409255 2233691106 2978254808 3722818510 4467382212 5584227765 7073355169 7445637020 8934764424 9307046275 11168455530 14146710338 14891274040 18614092550 21220065507 22336911060 27921138825 28293420676 35366775845 37228185100 42440131014 44673822120 55842277650 56586841352 70733551690 74456370200 84880262028 106100327535 111684555300 141467103380 169760524056 176833879225 212200655070 223369110600 282934206760 353667758450 424401310140 530501637675 707335516900 848802620280 1061003275350 1414671033800 2122006550700 4244013101400