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100002441440 = 25511471208927
BaseRepresentation
bin101110100100010011…
…1000010100011100000
3100120010100020101021102
41131020213002203200
53114301111111230
6113535051213532
710140103504256
oct1351047024340
9316110211242
10100002441440
1139457853420
121746a7472a8
139579185a95
144ba94d85d6
15290456d045
hex17489c28e0

100002441440 has 96 divisors (see below), whose sum is σ = 263217475584. Its totient is φ = 35590781440.

The previous prime is 100002441437. The next prime is 100002441449. The reversal of 100002441440 is 44144200001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002441449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521744 + ... + 687183.

It is an arithmetic number, because the mean of its divisors is an integer number (2741848704).

Almost surely, 2100002441440 is an apocalyptic number.

100002441440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002441440 is an abundant number, since it is smaller than the sum of its proper divisors (163215034144).

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

100002441440 is a wasteful number, since it uses less digits than its factorization.

100002441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209000 (or 1208992 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 100002441440 its reverse (44144200001), we get a palindrome (144146641441).

The spelling of 100002441440 in words is "one hundred billion, two million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 80 88 94 110 160 176 188 220 235 352 376 440 470 517 752 880 940 1034 1504 1760 1880 2068 2585 3760 4136 5170 7520 8272 10340 16544 20680 41360 82720 1208927 2417854 4835708 6044635 9671416 12089270 13298197 19342832 24178540 26596394 38685664 48357080 53192788 56819569 66490985 96714160 106385576 113639138 132981970 193428320 212771152 227278276 265963940 284097845 425542304 454556552 531927880 568195690 625015259 909113104 1063855760 1136391380 1250030518 1818226208 2127711520 2272782760 2500061036 3125076295 4545565520 5000122072 6250152590 9091131040 10000244144 12500305180 20000488288 25000610360 50001220720 100002441440