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34553421035340 = 2235678969958343
BaseRepresentation
bin1111101101101000110000…
…11000101111011101001100
311112100021102022200221112020
413312310120120233131030
514012110401241112330
6201253342242410140
710164254661522504
oct766643030573514
9145307368627466
1034553421035340
11100120294066a9
123a60826960950
1316384b1b04a1c
14876574724a04
153edc3176c210
hex1f6d1862f74c

34553421035340 has 96 divisors (see below), whose sum is σ = 98204653048320. Its totient is φ = 9075698075136.

The previous prime is 34553421035323. The next prime is 34553421035381. The reversal of 34553421035340 is 4353012435543.

It is a junction number, because it is equal to n+sod(n) for n = 34553421035292 and 34553421035301.

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, 35576209 + ... + 36534551.

It is an arithmetic number, because the mean of its divisors is an integer number (1022965135920).

Almost surely, 234553421035340 is an apocalyptic number.

34553421035340 is a gapful number since it is divisible by the number (30) 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 34553421035340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49102326524160).

34553421035340 is an abundant number, since it is smaller than the sum of its proper divisors (63651232012980).

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

34553421035340 is a wasteful number, since it uses less digits than its factorization.

34553421035340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967391 (or 967389 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 42.

The spelling of 34553421035340 in words is "thirty-four trillion, five hundred fifty-three billion, four hundred twenty-one million, thirty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 8969 17938 26907 35876 44845 53814 89690 107628 134535 179380 269070 538140 600923 958343 1201846 1802769 1916686 2403692 2875029 3004615 3605538 3833372 4791715 5750058 6009230 7211076 9013845 9583430 11500116 12018460 14375145 18027690 19166860 28750290 36055380 57500580 64208981 128417962 192626943 256835924 321044905 385253886 642089810 770507772 963134715 1284179620 1926269430 3852538860 8595378367 17190756734 25786135101 34381513468 42976891835 51572270202 85953783670 103144540404 128930675505 171907567340 257861351010 515722702020 575890350589 1151780701178 1727671051767 2303561402356 2879451752945 3455342103534 5758903505890 6910684207068 8638355258835 11517807011780 17276710517670 34553421035340