Search a number
-
+
4345375710004 = 2279731140112829
BaseRepresentation
bin111111001110111100100…
…100110101101100110100
3120101102011201000121222021
4333032330210311230310
51032143312140210004
613124123230042524
7625641314051260
oct77167444655464
916342151017867
104345375710004
11142595533944a
125a21b5649444
132569c8623a94
141104629910a0
157807706dd54
hex3f3bc935b34

4345375710004 has 96 divisors (see below), whose sum is σ = 8831234280960. Its totient is φ = 1832454144000.

The previous prime is 4345375709989. The next prime is 4345375710023. The reversal of 4345375710004 is 4000175735434.

It is a super-2 number, since 2×43453757100042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 338708662 + ... + 338721490.

It is an arithmetic number, because the mean of its divisors is an integer number (91992023760).

Almost surely, 24345375710004 is an apocalyptic number.

It is an amenable number.

4345375710004 is an abundant number, since it is smaller than the sum of its proper divisors (4485858570956).

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

4345375710004 is a wasteful number, since it uses less digits than its factorization.

4345375710004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13649 (or 13647 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 43.

The spelling of 4345375710004 in words is "four trillion, three hundred forty-five billion, three hundred seventy-five million, seven hundred ten thousand, four".

Divisors: 1 2 4 7 14 28 97 194 311 388 401 622 679 802 1244 1358 1604 2177 2716 2807 4354 5614 8708 11228 12829 25658 30167 38897 51316 60334 77794 89803 120668 124711 155588 179606 211169 249422 272279 359212 422338 498844 544558 844676 872977 1089116 1244413 1745954 2488826 3491908 3989819 4977652 5144429 7979638 8710891 10288858 12096967 15959276 17421782 20577716 24193934 27928733 34843564 36011003 48387868 55857466 72022006 84678769 111714932 144044012 169357538 338715076 387012443 499009613 774024886 998019226 1548049772 1599917419 1996038452 2709087101 3199834838 3493067291 5418174202 6399669676 6986134582 10836348404 11199421933 13972269164 22398843866 44797687732 155191989643 310383979286 620767958572 1086343927501 2172687855002 4345375710004