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34051021041352 = 23731432069220471
BaseRepresentation
bin1111011111000000111110…
…00000110110111011001000
311110120020122012110220110111
413233200133000312323020
513430342442341310402
6200230453443124104
710113051021163120
oct757403700667310
9143506565426414
1034051021041352
11a938a587401a7
12399b396073634
1315cccc76a0c83
1485a114883c80
153e0b2a0b49d7
hex1ef81f036ec8

34051021041352 has 128 divisors (see below), whose sum is σ = 77109464678400. Its totient is φ = 13787382470400.

The previous prime is 34051021041343. The next prime is 34051021041487. The reversal of 34051021041352 is 25314012015043.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 154336477 + ... + 154556947.

It is an arithmetic number, because the mean of its divisors is an integer number (602417692800).

Almost surely, 234051021041352 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 34051021041352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38554732339200).

34051021041352 is an abundant number, since it is smaller than the sum of its proper divisors (43058443637048).

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

34051021041352 is a wasteful number, since it uses less digits than its factorization.

34051021041352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222627 (or 222623 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 34051021041352 its reverse (25314012015043), we get a palindrome (59365033056395).

The spelling of 34051021041352 in words is "thirty-four trillion, fifty-one billion, twenty-one million, forty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 31 43 56 62 86 124 172 217 248 301 344 434 602 868 1204 1333 1736 2069 2408 2666 4138 5332 8276 9331 10664 14483 16552 18662 28966 37324 57932 64139 74648 88967 115864 128278 177934 220471 256556 355868 440942 448973 513112 622769 711736 881884 897946 1245538 1543297 1763768 1795892 2491076 2757977 3086594 3591784 4982152 5515954 6173188 6834601 9480253 11031908 12346376 13669202 18960506 19305839 22063816 27338404 37921012 38611678 47842207 54676808 66361771 75842024 77223356 95684414 132723542 154446712 191368828 265447084 293887843 382737656 456154499 530894168 587775686 912308998 1175551372 1824617996 2057214901 2351102744 3193081493 3649235992 4114429802 6386162986 8228859604 12772325972 14140789469 16457719208 19614643457 25544651944 28281578938 39229286914 56563157876 78458573828 98985526283 113126315752 137302504199 156917147656 197971052566 274605008398 395942105132 549210016796 608053947167 791884210264 1098420033592 1216107894334 2432215788668 4256377630169 4864431577336 8512755260338 17025510520676 34051021041352