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34211432455140 = 22357113161304219
BaseRepresentation
bin1111100011101011110000…
…10001110101101111100100
311111010120200112212001002010
413301311320101311233210
513441010003202031030
6200432303132314220
710130460121536333
oct761657021655744
9144116615761063
1034211432455140
11a99aa94804656
123a064a3612970
13161217cc473b5
14863bb0c8dd1a
153e4db7c1c6b0
hex1f1d78475be4

34211432455140 has 96 divisors (see below), whose sum is σ = 97882731555840. Its totient is φ = 8925894140800.

The previous prime is 34211432455129. The next prime is 34211432455171. The reversal of 34211432455140 is 4155423411243.

It is a super-2 number, since 2×342114324551402 (a number of 28 digits) contains 22 as substring.

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, 30094050 + ... + 31210169.

It is an arithmetic number, because the mean of its divisors is an integer number (1019611787040).

Almost surely, 234211432455140 is an apocalyptic number.

34211432455140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34211432455140 is an abundant number, since it is smaller than the sum of its proper divisors (63671299100700).

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

34211432455140 is a wasteful number, since it uses less digits than its factorization.

34211432455140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61304433 (or 61304431 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 34211432455140 its reverse (4155423411243), we get a palindrome (38366855866383).

The spelling of 34211432455140 in words is "thirty-four trillion, two hundred eleven billion, four hundred thirty-two million, four hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 131 142 213 262 284 355 393 426 524 655 710 786 852 1065 1310 1420 1572 1965 2130 2620 3930 4260 7860 9301 18602 27903 37204 46505 55806 93010 111612 139515 186020 279030 558060 61304219 122608438 183912657 245216876 306521095 367825314 613042190 735650628 919563285 1226084380 1839126570 3678253140 4352599549 8030852689 8705199098 13057798647 16061705378 17410398196 21762997745 24092558067 26115597294 32123410756 40154263445 43525995490 48185116134 52231194588 65288993235 80308526890 87051990980 96370232268 120462790335 130577986470 160617053780 240925580670 261155972940 481851161340 570190540919 1140381081838 1710571622757 2280762163676 2850952704595 3421143245514 5701905409190 6842286491028 8552858113785 11403810818380 17105716227570 34211432455140