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34411010044240 = 24534710529117731
BaseRepresentation
bin1111101001011111100000…
…00001111011000101010000
311111211122211110022000202101
413310233300001323011100
514002242222032403430
6201104111052530144
710151053623211564
oct764576001730520
9144748743260671
1034411010044240
11aa6769a093235
123a39101780954
131627c378a939b
1486d704c156a4
153ea199052dca
hex1f4bf007b150

34411010044240 has 80 divisors (see below), whose sum is σ = 80244464114880. Its totient is φ = 13723317063680.

The previous prime is 34411010044231. The next prime is 34411010044331. The reversal of 34411010044240 is 4244001011443.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×344110100442402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34411010044199 and 34411010044208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292226175 + ... + 292343905.

It is an arithmetic number, because the mean of its divisors is an integer number (1003055801436).

Almost surely, 234411010044240 is an apocalyptic number.

It is an amenable number.

34411010044240 is an abundant number, since it is smaller than the sum of its proper divisors (45833454070640).

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

34411010044240 is a wasteful number, since it uses less digits than its factorization.

34411010044240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128620 (or 128614 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 34411010044240 its reverse (4244001011443), we get a palindrome (38655011055683).

The spelling of 34411010044240 in words is "thirty-four trillion, four hundred eleven billion, ten million, forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 347 694 1388 1735 2776 3470 5552 6940 10529 13880 21058 27760 42116 52645 84232 105290 117731 168464 210580 235462 421160 470924 588655 842320 941848 1177310 1883696 2354620 3653563 4709240 7307126 9418480 14614252 18267815 29228504 36535630 40852657 58457008 73071260 81705314 146142520 163410628 204263285 292285040 326821256 408526570 653642512 817053140 1239589699 1634106280 2479179398 3268212560 4958358796 6197948495 9916717592 12395896990 19833435184 24791793980 49583587960 99167175920 430137625553 860275251106 1720550502212 2150688127765 3441101004424 4301376255530 6882202008848 8602752511060 17205505022120 34411010044240