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16342632240 = 24351110161291
BaseRepresentation
bin11110011100001100…
…01100011100110000
31120011221112201212120
433032012030130300
5231432203212430
611301355154240
71115662040064
oct171606143460
946157481776
1016342632240
116a26a98540
123201145980
131705a5c9bc
14b10681aa4
15659b26610
hex3ce18c730

16342632240 has 160 divisors (see below), whose sum is σ = 55815927552. Its totient is φ = 3922560000.

The previous prime is 16342632227. The next prime is 16342632259. The reversal of 16342632240 is 4223624361.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

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, 235995 + ... + 297285.

Almost surely, 216342632240 is an apocalyptic number.

16342632240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16342632240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27907963776).

16342632240 is an abundant number, since it is smaller than the sum of its proper divisors (39473295312).

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

16342632240 is a wasteful number, since it uses less digits than its factorization.

16342632240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61419 (or 61413 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 16342632240 in words is "sixteen billion, three hundred forty-two million, six hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 101 110 120 132 165 176 202 220 240 264 303 330 404 440 505 528 606 660 808 880 1010 1111 1212 1320 1515 1616 2020 2222 2424 2640 3030 3333 4040 4444 4848 5555 6060 6666 8080 8888 11110 12120 13332 16665 17776 22220 24240 26664 33330 44440 53328 61291 66660 88880 122582 133320 183873 245164 266640 306455 367746 490328 612910 674201 735492 919365 980656 1225820 1348402 1470984 1838730 2022603 2451640 2696804 2941968 3371005 3677460 4045206 4903280 5393608 6190391 6742010 7354920 8090412 10113015 10787216 12380782 13484020 14709840 16180824 18571173 20226030 24761564 26968040 30951955 32361648 37142346 40452060 49523128 53936080 61903910 68094301 74284692 80904120 92855865 99046256 123807820 136188602 148569384 161808240 185711730 204282903 247615640 272377204 297138768 340471505 371423460 408565806 495231280 544754408 680943010 742846920 817131612 1021414515 1089508816 1361886020 1485693840 1634263224 2042829030 2723772040 3268526448 4085658060 5447544080 8171316120 16342632240