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244155010400 = 25527199219091
BaseRepresentation
bin1110001101100011000…
…1011100110101100000
3212100012120201121201222
43203120301130311200
513000012140313100
6304055133114212
723432250226520
oct3433061346540
9770176647658
10244155010400
1194600158034
123b39b028968
131a040157772
14bb62433680
15653eb00485
hex38d8c5cd60

244155010400 has 144 divisors (see below), whose sum is σ = 684618681600. Its totient is φ = 83289254400.

The previous prime is 244155010399. The next prime is 244155010423. The reversal of 244155010400 is 4010551442.

It is a super-2 number, since 2×2441550104002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 244155010400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1004855 + ... + 1223945.

It is an arithmetic number, because the mean of its divisors is an integer number (4754296400).

Almost surely, 2244155010400 is an apocalyptic number.

244155010400 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 244155010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342309340800).

244155010400 is an abundant number, since it is smaller than the sum of its proper divisors (440463671200).

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

244155010400 is a wasteful number, since it uses less digits than its factorization.

244155010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219317 (or 219304 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 244155010400 its reverse (4010551442), we get a palindrome (248165561842).

The spelling of 244155010400 in words is "two hundred forty-four billion, one hundred fifty-five million, ten thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 199 200 224 280 350 398 400 560 700 796 800 995 1120 1393 1400 1592 1990 2786 2800 3184 3980 4975 5572 5600 6368 6965 7960 9950 11144 13930 15920 19900 22288 27860 31840 34825 39800 44576 55720 69650 79600 111440 139300 159200 219091 222880 278600 438182 557200 876364 1095455 1114400 1533637 1752728 2190910 3067274 3505456 4381820 5477275 6134548 7010912 7668185 8763640 10954550 12269096 15336370 17527280 21909100 24538192 30672740 35054560 38340925 43599109 43818200 49076384 61345480 76681850 87198218 87636400 122690960 153363700 174396436 175272800 217995545 245381920 305193763 306727400 348792872 435991090 610387526 613454800 697585744 871982180 1089977725 1220775052 1226909600 1395171488 1525968815 1743964360 2179955450 2441550104 3051937630 3487928720 4359910900 4883100208 6103875260 6975857440 7629844075 8719821800 9766200416 12207750520 15259688150 17439643600 24415501040 30519376300 34879287200 48831002080 61038752600 122077505200 244155010400