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34007070370406 = 2721315035779127
BaseRepresentation
bin1111011101101111000110…
…10110010110101001100110
311110102001012012112111020212
413232313203112112221212
513424132440003323111
6200154344335455422
710106633622510200
oct756674326265146
9143361165474225
1034007070370406
11a921354730651
12399296b087572
1315c8b11cabbc3
14857d45723770
153de90684d98b
hex1eede3596a66

34007070370406 has 96 divisors (see below), whose sum is σ = 60021113467392. Its totient is φ = 14407854289920.

The previous prime is 34007070370369. The next prime is 34007070370417. The reversal of 34007070370406 is 60407307070043.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3725981015 + ... + 3725990141.

It is an arithmetic number, because the mean of its divisors is an integer number (625219931952).

Almost surely, 234007070370406 is an apocalyptic number.

34007070370406 is a deficient number, since it is larger than the sum of its proper divisors (26014043096986).

34007070370406 is a wasteful number, since it uses less digits than its factorization.

34007070370406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10354 (or 10347 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 41.

The spelling of 34007070370406 in words is "thirty-four trillion, seven billion, seventy million, three hundred seventy thousand, four hundred six".

Divisors: 1 2 7 14 49 98 131 262 503 577 917 1006 1154 1834 3521 4039 6419 7042 8078 9127 12838 18254 24647 28273 49294 56546 63889 65893 75587 127778 131786 151174 290231 447223 461251 529109 580462 894446 922502 1058218 1195637 2031617 2391274 3228757 3703763 4063234 4590881 5266279 6457514 7407526 8369459 9181762 10532558 14221319 16738918 28442638 32136167 36863953 38020261 58586213 64272334 73727906 76040522 117172426 224953169 258047671 266141827 449906338 516095342 532283654 601405411 689882549 1202810822 1379765098 1862992789 2648938337 3725985578 4209837877 4829177843 5297876674 8419675754 9658355686 18542568359 29468865139 33804244901 37085136718 58937730278 67608489802 129797978513 259595957026 347010922147 694021844294 2429076455029 4858152910058 17003535185203 34007070370406