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34211041040 = 245111571931283
BaseRepresentation
bin11111110111001000…
…110000111100010000
310021022020002221201002
4133313020300330100
51030031011303130
623414421201132
72320532023301
oct376710607420
9107266087632
1034211041040
1113566271540
1267692601a8
1332c2938467
1419278167a8
15d53689b45
hex7f7230f10

34211041040 has 160 divisors (see below), whose sum is σ = 87845198976. Its totient is φ = 12287508480.

The previous prime is 34211041003. The next prime is 34211041091. The reversal of 34211041040 is 4014011243.

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

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, 26664239 + ... + 26665521.

Almost surely, 234211041040 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 34211041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43922599488).

34211041040 is an abundant number, since it is smaller than the sum of its proper divisors (53634157936).

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

34211041040 is a wasteful number, since it uses less digits than its factorization.

34211041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 34211041040 its reverse (4014011243), we get a palindrome (38225052283).

The spelling of 34211041040 in words is "thirty-four billion, two hundred eleven million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 157 176 193 220 314 386 440 628 772 785 880 965 1256 1283 1544 1570 1727 1930 2123 2512 2566 3088 3140 3454 3860 4246 5132 6280 6415 6908 7720 8492 8635 10264 10615 12560 12830 13816 14113 15440 16984 17270 20528 21230 25660 27632 28226 30301 33968 34540 42460 51320 56452 60602 69080 70565 84920 102640 112904 121204 138160 141130 151505 169840 201431 225808 242408 247619 282260 303010 333311 402862 484816 495238 564520 606020 666622 805724 990476 1007155 1129040 1212040 1238095 1333244 1611448 1666555 1980952 2014310 2215741 2424080 2476190 2666488 2723809 3222896 3333110 3961904 4028620 4431482 4952380 5332976 5447618 6666220 8057240 8862964 9904760 10895236 11078705 13332440 13619045 16114480 17725928 19809520 21790472 22157410 26664880 27238090 35451856 38876183 43580944 44314820 54476180 77752366 88629640 108952360 155504732 177259280 194380915 217904720 311009464 388761830 427638013 622018928 777523660 855276026 1555047320 1710552052 2138190065 3110094640 3421104104 4276380130 6842208208 8552760260 17105520520 34211041040