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4249693411440 = 2435313111836641
BaseRepresentation
bin111101110101110101011…
…101110101100001110000
3120001021012102220020121120
4331311311131311201300
51024111333003131230
613012140542222240
7616013235662511
oct75656535654160
916037172806546
104249693411440
111399315161344
12587751884980
1324a98a4c0979
14109987144a08
1575826e13310
hex3dd75775870

4249693411440 has 160 divisors (see below), whose sum is σ = 13642753093632. Its totient is φ = 1093168128000.

The previous prime is 4249693411433. The next prime is 4249693411489. The reversal of 4249693411440 is 441143969424.

It is a happy number.

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, 1395520 + ... + 3232160.

Almost surely, 24249693411440 is an apocalyptic number.

4249693411440 is a gapful number since it is divisible by the number (40) 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 4249693411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6821376546816).

4249693411440 is an abundant number, since it is smaller than the sum of its proper divisors (9393059682192).

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

4249693411440 is a wasteful number, since it uses less digits than its factorization.

4249693411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836999 (or 1836993 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 4249693411440 in words is "four trillion, two hundred forty-nine billion, six hundred ninety-three million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 311 372 465 496 620 622 744 930 933 1240 1244 1488 1555 1860 1866 2480 2488 3110 3720 3732 4665 4976 6220 7440 7464 9330 9641 12440 14928 18660 19282 24880 28923 37320 38564 48205 57846 74640 77128 96410 115692 144615 154256 192820 231384 289230 385640 462768 578460 771280 1156920 1836641 2313840 3673282 5509923 7346564 9183205 11019846 14693128 18366410 22039692 27549615 29386256 36732820 44079384 55099230 56935871 73465640 88158768 110198460 113871742 146931280 170807613 220396920 227743484 284679355 341615226 440793840 455486968 569358710 571195351 683230452 854038065 910973936 1138717420 1142390702 1366460904 1708076130 1713586053 2277434840 2284781404 2732921808 2855976755 3416152260 3427172106 4554869680 4569562808 5711953510 6832304520 6854344212 8567930265 9139125616 11423907020 13664609040 13708688424 17135860530 17707055881 22847814040 27417376848 34271721060 35414111762 45695628080 53121167643 68543442120 70828223524 88535279405 106242335286 137086884240 141656447048 177070558810 212484670572 265605838215 283312894096 354141117620 424969341144 531211676430 708282235240 849938682288 1062423352860 1416564470480 2124846705720 4249693411440