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100451404144 = 24721328513457
BaseRepresentation
bin101110110001101011…
…1101100100101110000
3100121021122001001022201
41131203113230211300
53121211024413034
6114051410112544
710154164563400
oct1354327544560
9317248031281
10100451404144
1139668220783
1217574b7b754
13961b1ab5a0
144c0cda6800
15292dba4014
hex17635ec970

100451404144 has 120 divisors (see below), whose sum is σ = 243971499408. Its totient is φ = 39713587200.

The previous prime is 100451404111. The next prime is 100451404213. The reversal of 100451404144 is 441404154001.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 29055664 + ... + 29059120.

Almost surely, 2100451404144 is an apocalyptic number.

100451404144 is a gapful number since it is divisible by the number (14) 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 100451404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121985749704).

100451404144 is an abundant number, since it is smaller than the sum of its proper divisors (143520095264).

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

100451404144 is a wasteful number, since it uses less digits than its factorization.

100451404144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6343 (or 6330 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 100451404144 its reverse (441404154001), we get a palindrome (541855558145).

The spelling of 100451404144 in words is "one hundred billion, four hundred fifty-one million, four hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 2851 3457 5096 5702 6914 10192 11404 13828 19957 22808 24199 27656 37063 39914 44941 45616 48398 55312 74126 79828 89882 96796 139699 148252 159656 169393 179764 193592 259441 279398 296504 314587 319312 338786 359528 387184 518882 558796 593008 629174 677572 719056 1037764 1117592 1258348 1355144 1816087 2075528 2202109 2235184 2516696 2710288 3632174 4151056 4404218 5033392 7264348 8808436 9855907 14528696 17616872 19711814 29057392 35233744 39423628 68991349 78847256 128126791 137982698 157694512 256253582 275965396 482939443 512507164 551930792 896887537 965878886 1025014328 1103861584 1793775074 1931757772 2050028656 3587550148 3863515544 6278212759 7175100296 7727031088 12556425518 14350200592 25112851036 50225702072 100451404144