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244040007640 = 2351113132132297
BaseRepresentation
bin1110001101000111101…
…0101111111111011000
3212022220120022212121111
43203101322233333120
512444243220221030
6304035504150104
723426352560512
oct3432172577730
9768816285544
10244040007640
1194551249830
123b368608334
131a0223902b0
14bb51058bb2
15653498562a
hex38d1eaffd8

244040007640 has 128 divisors (see below), whose sum is σ = 645593094720. Its totient is φ = 81850982400.

The previous prime is 244040007557. The next prime is 244040007647. The reversal of 244040007640 is 46700040442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244040007647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7539972 + ... + 7572268.

Almost surely, 2244040007640 is an apocalyptic number.

244040007640 is a gapful number since it is divisible by the number (20) 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 244040007640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322796547360).

244040007640 is an abundant number, since it is smaller than the sum of its proper divisors (401553087080).

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

244040007640 is a wasteful number, since it uses less digits than its factorization.

244040007640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33653 (or 33649 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

The spelling of 244040007640 in words is "two hundred forty-four billion, forty million, seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1321 1430 2642 2860 5284 5720 6605 10568 13210 14531 17173 26420 29062 32297 34346 52840 58124 64594 68692 72655 85865 116248 129188 137384 145310 161485 171730 188903 258376 290620 322970 343460 355267 377806 419861 581240 645940 686920 710534 755612 839722 944515 1291880 1421068 1511224 1679444 1776335 1889030 2099305 2842136 3358888 3552670 3778060 4198610 4618471 7105340 7556120 8397220 9236942 14210680 16794440 18473884 23092355 36947768 42664337 46184710 85328674 92369420 170657348 184738840 213321685 341314696 426643370 469307707 554636381 853286740 938615414 1109272762 1706573480 1877230828 2218545524 2346538535 2773181905 3754461656 4437091048 4693077070 5546363810 6101000191 9386154140 11092727620 12202000382 18772308280 22185455240 24404000764 30505000955 48808001528 61010001910 122020003820 244040007640