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34231621440 = 263589400651
BaseRepresentation
bin11111111000010111…
…010001011101000000
310021100122211112201010
4133320113101131000
51030101243341230
623420434240520
72321201660412
oct377027213500
9107318745633
1034231621440
1113576948935
126774126140
1332c6c92b03
14192a4529b2
15d553a29b0
hex7f85d1740

34231621440 has 112 divisors (see below), whose sum is σ = 109906856640. Its totient is φ = 9025843200.

The previous prime is 34231621421. The next prime is 34231621507. The reversal of 34231621440 is 4412613243.

It is a super-2 number, since 2×342316214402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34231621398 and 34231621407.

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, 114886 + ... + 285765.

It is an arithmetic number, because the mean of its divisors is an integer number (981311220).

Almost surely, 234231621440 is an apocalyptic number.

34231621440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34231621440 is an abundant number, since it is smaller than the sum of its proper divisors (75675235200).

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

34231621440 is a wasteful number, since it uses less digits than its factorization.

34231621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400760 (or 400750 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 34231621440 in words is "thirty-four billion, two hundred thirty-one million, six hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 89 96 120 160 178 192 240 267 320 356 445 480 534 712 890 960 1068 1335 1424 1780 2136 2670 2848 3560 4272 5340 5696 7120 8544 10680 14240 17088 21360 28480 42720 85440 400651 801302 1201953 1602604 2003255 2403906 3205208 4006510 4807812 6009765 6410416 8013020 9615624 12019530 12820832 16026040 19231248 24039060 25641664 32052080 35657939 38462496 48078120 64104160 71315878 76924992 96156240 106973817 128208320 142631756 178289695 192312480 213947634 285263512 356579390 384624960 427895268 534869085 570527024 713158780 855790536 1069738170 1141054048 1426317560 1711581072 2139476340 2282108096 2852635120 3423162144 4278952680 5705270240 6846324288 8557905360 11410540480 17115810720 34231621440