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4240364216 = 23111953109439
BaseRepresentation
bin1111110010111110…
…1101001010111000
3101221111222211011112
43330233231022320
532141013123331
61540433415452
7210036333614
oct37457551270
911844884145
104240364216
111886636440
129a410a588
1352766c26a
142c3242344
1519c40432b
hexfcbed2b8

4240364216 has 128 divisors (see below), whose sum is σ = 9408960000. Its totient is φ = 1771061760.

The previous prime is 4240364209. The next prime is 4240364221. The reversal of 4240364216 is 6124630424.

It is a congruent number.

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, 9658925 + ... + 9659363.

It is an arithmetic number, because the mean of its divisors is an integer number (73507500).

Almost surely, 24240364216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4240364216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704480000).

4240364216 is an abundant number, since it is smaller than the sum of its proper divisors (5168595784).

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

4240364216 is a wasteful number, since it uses less digits than its factorization.

4240364216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 4240364216 is about 65118.0790257207. The cubic root of 4240364216 is about 1618.5808096233.

The spelling of 4240364216 in words is "four billion, two hundred forty million, three hundred sixty-four thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 19 22 38 44 53 76 88 106 109 152 209 212 218 418 424 436 439 583 836 872 878 1007 1166 1199 1672 1756 2014 2071 2332 2398 3512 4028 4142 4664 4796 4829 5777 8056 8284 8341 9592 9658 11077 11554 16568 16682 19316 22154 22781 23108 23267 33364 38632 44308 45562 46216 46534 47851 63547 66728 88616 91124 91751 93068 95702 109763 127094 182248 183502 186136 191404 219526 254188 255937 367004 382808 439052 442073 508376 511874 526361 734008 878104 884146 909169 1023748 1052722 1207393 1768292 1818338 2047496 2105444 2414786 2536103 3536584 3636676 4210888 4829572 4862803 5072206 7273352 9659144 9725606 10000859 10144412 19451212 20001718 20288824 27897133 38902424 40003436 48185957 55794266 80006872 96371914 111588532 192743828 223177064 385487656 530045527 1060091054 2120182108 4240364216