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34134142240 = 25511171140847
BaseRepresentation
bin11111110010100011…
…011010110100100000
310021002212102002101101
4133302203122310200
51024401320022430
623403033044144
72315606264452
oct376243326440
9107085362341
1034134142240
1113526919310
126747556654
1332aca22803
14191b51a2d2
15d4ba49dca
hex7f28dad20

34134142240 has 96 divisors (see below), whose sum is σ = 93147957504. Its totient is φ = 11682263040.

The previous prime is 34134142213. The next prime is 34134142241. The reversal of 34134142240 is 4224143143.

It is a junction number, because it is equal to n+sod(n) for n = 34134142199 and 34134142208.

It is not an unprimeable number, because it can be changed into a prime (34134142241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540504 + ... + 600343.

It is an arithmetic number, because the mean of its divisors is an integer number (970291224).

Almost surely, 234134142240 is an apocalyptic number.

It is an amenable number.

34134142240 is an abundant number, since it is smaller than the sum of its proper divisors (59013815264).

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

34134142240 is a wasteful number, since it uses less digits than its factorization.

34134142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140890 (or 1140882 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 34134142240 its reverse (4224143143), we get a palindrome (38358285383).

The spelling of 34134142240 in words is "thirty-four billion, one hundred thirty-four million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1760 1870 2720 2992 3740 5984 7480 14960 29920 1140847 2281694 4563388 5704235 9126776 11408470 12549317 18253552 19394399 22816940 25098634 36507104 38788798 45633880 50197268 62746585 77577596 91267760 96971995 100394536 125493170 155155192 182535520 193943990 200789072 213338389 250986340 310310384 387887980 401578144 426676778 501972680 620620768 775775960 853353556 1003945360 1066691945 1551551920 1706707112 2007890720 2133383890 3103103840 3413414224 4266767780 6826828448 8533535560 17067071120 34134142240