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1441891152 = 2433131913513
BaseRepresentation
bin101010111110001…
…1000001101010000
310201111011122211000
41111330120031100
510423111004102
6355024422000
750505605202
oct12574301520
93644148730
101441891152
1167aa01189
12342a77900
1319c958040
14d96d8772
15868bc01c
hex55f18350

1441891152 has 160 divisors (see below), whose sum is σ = 4692060800. Its totient is φ = 420277248.

The previous prime is 1441891151. The next prime is 1441891169. The reversal of 1441891152 is 2511981441.

1441891152 is a `hidden beast` number, since 1 + 4 + 418 + 91 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441891151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99948 + ... + 113460.

It is an arithmetic number, because the mean of its divisors is an integer number (29325380).

Almost surely, 21441891152 is an apocalyptic number.

1441891152 is a gapful number since it is divisible by the number (12) 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 1441891152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346030400).

1441891152 is an abundant number, since it is smaller than the sum of its proper divisors (3250169648).

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

1441891152 is a wasteful number, since it uses less digits than its factorization.

1441891152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13562 (or 13550 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 1441891152 is about 37972.2418616547. The cubic root of 1441891152 is about 1129.7373634539.

It can be divided in two parts, 14418 and 91152, that added together give a triangular number (105570 = T459).

The spelling of 1441891152 in words is "one billion, four hundred forty-one million, eight hundred ninety-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 36 38 39 48 52 54 57 72 76 78 104 108 114 117 144 152 156 171 208 216 228 234 247 304 312 342 351 432 456 468 494 513 624 684 702 741 912 936 988 1026 1368 1404 1482 1872 1976 2052 2223 2736 2808 2964 3952 4104 4446 5616 5928 6669 8208 8892 11856 13338 13513 17784 26676 27026 35568 40539 53352 54052 81078 106704 108104 121617 162156 175669 216208 243234 256747 324312 351338 364851 486468 513494 527007 648624 702676 729702 770241 972936 1026988 1054014 1405352 1459404 1540482 1581021 1945872 2053976 2108028 2310723 2810704 2918808 3080964 3162042 3337711 4107952 4216056 4621446 4743063 5837616 6161928 6324084 6675422 6932169 8432112 9242892 9486126 10013133 12323856 12648168 13350844 13864338 18485784 18972252 20026266 25296336 26701688 27728676 30039399 36971568 37944504 40052532 53403376 55457352 60078798 75889008 80105064 90118197 110914704 120157596 160210128 180236394 240315192 360472788 480630384 720945576 1441891152