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34051144144 = 24236710712907
BaseRepresentation
bin11111101101100110…
…110011100111010000
310020220002020100101211
4133231212303213100
51024214043103034
623350510105504
72313550643503
oct375546634720
9106802210354
1034051144144
1113493a8a646
1267237ab294
133298782904
1419104b313a
15d44602d64
hex7ed9b39d0

34051144144 has 80 divisors (see below), whose sum is σ = 70528485888. Its totient is φ = 15891106176.

The previous prime is 34051144111. The next prime is 34051144157. The reversal of 34051144144 is 44144115043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2631739 + ... + 2644645.

Almost surely, 234051144144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34051144144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35264242944).

34051144144 is an abundant number, since it is smaller than the sum of its proper divisors (36477341744).

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

34051144144 is a wasteful number, since it uses less digits than its factorization.

34051144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13112 (or 13106 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 34051144144 its reverse (44144115043), we get a palindrome (78195259187).

The spelling of 34051144144 in words is "thirty-four billion, fifty-one million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 67 92 107 134 184 214 268 368 428 536 856 1072 1541 1712 2461 3082 4922 6164 7169 9844 12328 12907 14338 19688 24656 25814 28676 39376 51628 57352 103256 114704 164887 206512 296861 329774 593722 659548 864769 1187444 1319096 1381049 1729538 2374888 2638192 2762098 3459076 4749776 5524196 6918152 11048392 13836304 19889687 22096784 31764127 39779374 63528254 79558748 92530283 127056508 159117496 185060566 254113016 318234992 370121132 508226032 740242264 1480484528 2128196509 4256393018 8512786036 17025572072 34051144144