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20440311024 = 2437891674093
BaseRepresentation
bin10011000010010101…
…100110010011110000
31221202112001101102110
4103002111212103300
5313330204423044
613220134445320
71322346530340
oct230225462360
957675041373
1020440311024
11873a028231
123b65503840
131c099914c3
14dbc980d20
157e97436b9
hex4c25664f0

20440311024 has 160 divisors (see below), whose sum is σ = 61406069760. Its totient is φ = 5738489856.

The previous prime is 20440311007. The next prime is 20440311041. The reversal of 20440311024 is 42011304402.

It is an interprime number because it is at equal distance from previous prime (20440311007) and next prime (20440311041).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 4991922 + ... + 4996014.

It is an arithmetic number, because the mean of its divisors is an integer number (383787936).

Almost surely, 220440311024 is an apocalyptic number.

20440311024 is a gapful number since it is divisible by the number (24) 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 20440311024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30703034880).

20440311024 is an abundant number, since it is smaller than the sum of its proper divisors (40965758736).

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

20440311024 is a wasteful number, since it uses less digits than its factorization.

20440311024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20440311024 its reverse (42011304402), we get a palindrome (62451615426).

The spelling of 20440311024 in words is "twenty billion, four hundred forty million, three hundred eleven thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 89 112 167 168 178 267 334 336 356 501 534 623 668 712 1002 1068 1169 1246 1336 1424 1869 2004 2136 2338 2492 2672 3507 3738 4008 4093 4272 4676 4984 7014 7476 8016 8186 9352 9968 12279 14028 14863 14952 16372 18704 24558 28056 28651 29726 29904 32744 44589 49116 56112 57302 59452 65488 85953 89178 98232 104041 114604 118904 171906 178356 196464 208082 229208 237808 312123 343812 356712 364277 416164 458416 624246 683531 687624 713424 728554 832328 1092831 1248492 1367062 1375248 1457108 1664656 2050593 2185662 2496984 2549939 2734124 2914216 4101186 4371324 4784717 4993968 5099878 5468248 5828432 7649817 8202372 8742648 9569434 10199756 10936496 14354151 15299634 16404744 17485296 19138868 20399512 28708302 30599268 32809488 38277736 40799024 57416604 60834259 61198536 76555472 114833208 121668518 122397072 182502777 229666416 243337036 365005554 425839813 486674072 730011108 851679626 973348144 1277519439 1460022216 1703359252 2555038878 2920044432 3406718504 5110077756 6813437008 10220155512 20440311024