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444213312396 = 2237213122925183
BaseRepresentation
bin1100111011011010010…
…11010011101110001100
31120110120222201100112120
412131231023103232030
524234222101444041
6540022504532540
744044006566300
oct6355513235614
91513528640476
10444213312396
1116143191a3a7
1272112181150
1332b7357aa59
141770016dd00
15b84d23e366
hex676d2d3b8c

444213312396 has 144 divisors (see below), whose sum is σ = 1220279639040. Its totient is φ = 125394272640.

The previous prime is 444213312391. The next prime is 444213312397. The reversal of 444213312396 is 693213312444.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (444213312391) 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, 17626821 + ... + 17652003.

It is an arithmetic number, because the mean of its divisors is an integer number (8474164160).

Almost surely, 2444213312396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444213312396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610139819520).

444213312396 is an abundant number, since it is smaller than the sum of its proper divisors (776066326644).

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

444213312396 is a wasteful number, since it uses less digits than its factorization.

444213312396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25564 (or 25555 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The spelling of 444213312396 in words is "four hundred forty-four billion, two hundred thirteen million, three hundred twelve thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 131 147 196 229 262 294 393 458 524 588 687 786 916 917 1374 1572 1603 1834 2748 2751 3206 3668 4809 5502 6412 6419 9618 11004 11221 12838 19236 19257 22442 25183 25676 29999 33663 38514 44884 50366 59998 67326 75549 77028 89997 100732 119996 134652 151098 176281 179994 209993 302196 352562 359988 419986 528843 629979 705124 839972 1057686 1233967 1259958 1469951 2115372 2467934 2519916 2939902 3298973 3701901 4409853 4935868 5766907 5879804 6597946 7403802 8819706 9896919 11533814 13195892 14807604 17300721 17639412 19793838 23067628 23092811 34601442 39587676 40368349 46185622 69202884 69278433 80736698 92371244 121105047 138556866 161473396 161649677 242210094 277113732 282578443 323299354 484420188 484949031 565156886 646598708 755464817 847735329 969898062 1130313772 1510929634 1695470658 1939796124 2266394451 3021859268 3390941316 4532788902 5288253719 9065577804 10576507438 15864761157 21153014876 31729522314 37017776033 63459044628 74035552066 111053328099 148071104132 222106656198 444213312396