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4431201104 = 241137253347
BaseRepresentation
bin1000010000001111…
…01100001101010000
3102102211002100011102
410020013230031100
533033341413404
62011412003532
7214544405441
oct41007541520
912384070142
104431201104
11197432aa80
12a380005a8
135580688b5
1430071b2c8
151ae04d71e
hex1081ec350

4431201104 has 120 divisors (see below), whose sum is σ = 9835807968. Its totient is φ = 1917227520.

The previous prime is 4431201059. The next prime is 4431201133. The reversal of 4431201104 is 4011021344.

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, 12769859 + ... + 12770205.

Almost surely, 24431201104 is an apocalyptic number.

4431201104 is a gapful number since it is divisible by the number (44) 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 4431201104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917903984).

4431201104 is an abundant number, since it is smaller than the sum of its proper divisors (5404606864).

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

4431201104 is a wasteful number, since it uses less digits than its factorization.

4431201104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4431201104 is about 66567.2675118936. The cubic root of 4431201104 is about 1642.5067138690.

Adding to 4431201104 its reverse (4011021344), we get a palindrome (8442222448).

The spelling of 4431201104 in words is "four billion, four hundred thirty-one million, two hundred one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 37 44 53 74 88 106 148 176 212 296 347 407 424 583 592 694 814 848 1166 1369 1388 1628 1961 2332 2738 2776 3256 3817 3922 4664 5476 5552 6512 7634 7844 9328 10952 12839 15059 15268 15688 18391 21571 21904 25678 30118 30536 31376 36782 43142 51356 60236 61072 72557 73564 86284 102712 120472 141229 145114 147128 172568 202301 205424 240944 282458 290228 294256 345136 404602 475043 564916 580456 680467 798127 809204 950086 1129832 1160912 1360934 1596254 1618408 1900172 2259664 2721868 3192508 3236816 3800344 5225473 5443736 6385016 7485137 7600688 10450946 10887472 12770032 14970274 20901892 25177279 29940548 41803784 50354558 59881096 83607568 100709116 119762192 201418232 276950069 402836464 553900138 1107800276 2215600552 4431201104