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340100121440040 = 2335131571388617187
BaseRepresentation
bin100110101010100011011101…
…0111011010010111100101000
31122121012020212020000201211120
41031111012322323102330220
5324034200022042040130
63203155501110255240
7131431265025661653
oct11525067273227450
91577166766021746
10340100121440040
1199403719185365
1232189822657520
13117a03c46bb510
145ddad1014489a
15294bbb82a2910
hex13551baed2f28

340100121440040 has 128 divisors (see below), whose sum is σ = 1105783639148160. Its totient is φ = 83183723910144.

The previous prime is 340100121440029. The next prime is 340100121440047. The reversal of 340100121440040 is 40044121001043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (340100121440047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 694063674 + ... + 694553513.

It is an arithmetic number, because the mean of its divisors is an integer number (8638934680845).

Almost surely, 2340100121440040 is an apocalyptic number.

340100121440040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340100121440040 is an abundant number, since it is smaller than the sum of its proper divisors (765683517708120).

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

340100121440040 is a wasteful number, since it uses less digits than its factorization.

340100121440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388617371 (or 1388617367 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 340100121440040 its reverse (40044121001043), we get a palindrome (380144242441083).

The spelling of 340100121440040 in words is "three hundred forty trillion, one hundred billion, one hundred twenty-one million, four hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 157 195 260 312 314 390 471 520 628 780 785 942 1256 1560 1570 1884 2041 2355 3140 3768 4082 4710 6123 6280 8164 9420 10205 12246 16328 18840 20410 24492 30615 40820 48984 61230 81640 122460 244920 1388617187 2777234374 4165851561 5554468748 6943085935 8331703122 11108937496 13886171870 16663406244 18052023431 20829257805 27772343740 33326812488 36104046862 41658515610 54156070293 55544687480 72208093724 83317031220 90260117155 108312140586 144416187448 166634062440 180520234310 216624281172 218012898359 270780351465 361040468620 433248562344 436025796718 541560702930 654038695077 722080937240 872051593436 1083121405860 1090064491795 1308077390154 1744103186872 2166242811720 2180128983590 2616154780308 2834167678667 3270193475385 4360257967180 5232309560616 5668335357334 6540386950770 8502503036001 8720515934360 11336670714668 13080773901540 14170838393335 17005006072002 22673341429336 26161547803080 28341676786670 34010012144004 42512515180005 56683353573340 68020024288008 85025030360010 113366707146680 170050060720020 340100121440040