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44367801220 = 225172915728661
BaseRepresentation
bin101001010100100001…
…101110101110000100
311020112001211211101001
4221110201232232010
51211331124114340
632214323543044
73130322042101
oct512441565604
9136461754331
1044367801220
11178a8515816
12872282aa84
134250c50822
14220c703aa8
15124a1b029a
hexa5486eb84

44367801220 has 96 divisors (see below), whose sum is σ = 102708557280. Its totient is φ = 16023920640.

The previous prime is 44367801199. The next prime is 44367801293. The reversal of 44367801220 is 2210876344.

It can be written as a sum of positive squares in 16 ways, for example, as 261080964 + 44106720256 = 16158^2 + 210016^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 44367801220.

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, 1533690 + ... + 1562350.

It is an arithmetic number, because the mean of its divisors is an integer number (1069880805).

Almost surely, 244367801220 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 44367801220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51354278640).

44367801220 is an abundant number, since it is smaller than the sum of its proper divisors (58340756060).

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

44367801220 is a wasteful number, since it uses less digits than its factorization.

44367801220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28873 (or 28871 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 44367801220 in words is "forty-four billion, three hundred sixty-seven million, eight hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 157 170 290 314 340 493 580 628 785 986 1570 1972 2465 2669 3140 4553 4930 5338 9106 9860 10676 13345 18212 22765 26690 28661 45530 53380 57322 77401 91060 114644 143305 154802 286610 309604 387005 487237 573220 774010 831169 974474 1548020 1662338 1948948 2436185 3324676 4155845 4499777 4872370 8311690 8999554 9744740 14129873 16623380 17999108 22498885 28259746 44997770 56519492 70649365 76496209 89995540 130493533 141298730 152992418 260987066 282597460 305984836 382481045 521974132 652467665 764962090 1304935330 1529924180 2218390061 2609870660 4436780122 8873560244 11091950305 22183900610 44367801220