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1442199616 = 261113374259
BaseRepresentation
bin101010111110110…
…0011100001000000
310201111202022221121
41111331203201000
510423200341431
6355035202024
750511331414
oct12575434100
93644668847
101442199616
116800a1a10
12342ba6314
1319ca35570
14d9778d44
158692d611
hex55f63840

1442199616 has 112 divisors (see below), whose sum is σ = 3453871680. Its totient is φ = 588625920.

The previous prime is 1442199611. The next prime is 1442199631. The reversal of 1442199616 is 6169912441.

It is not an unprimeable number, because it can be changed into a prime (1442199611) 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, 336495 + ... + 340753.

It is an arithmetic number, because the mean of its divisors is an integer number (30838140).

Almost surely, 21442199616 is an apocalyptic number.

1442199616 is a gapful number since it is divisible by the number (16) 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 1442199616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726935840).

1442199616 is an abundant number, since it is smaller than the sum of its proper divisors (2011672064).

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

1442199616 is a wasteful number, since it uses less digits than its factorization.

1442199616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4322 counting only the distinct ones).

The product of its digits is 93312, while the sum is 43.

The square root of 1442199616 is about 37976.3033482723. The cubic root of 1442199616 is about 1129.8179193401.

The spelling of 1442199616 in words is "one billion, four hundred forty-two million, one hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 32 37 44 52 64 74 88 104 143 148 176 208 286 296 352 407 416 481 572 592 704 814 832 962 1144 1184 1628 1924 2288 2368 3256 3848 4259 4576 5291 6512 7696 8518 9152 10582 13024 15392 17036 21164 26048 30784 34072 42328 46849 55367 68144 84656 93698 110734 136288 157583 169312 187396 221468 272576 315166 338624 374792 442936 609037 630332 749584 885872 1218074 1260664 1499168 1733413 1771744 2048579 2436148 2521328 2998336 3466826 3543488 4097158 4872296 5042656 6933652 8194316 9744592 10085312 13867304 16388632 19489184 22534369 27734608 32777264 38978368 45068738 55469216 65554528 90137476 110938432 131109056 180274952 360549904 721099808 1442199616