Search a number
-
+
421888453120 = 2951374312791
BaseRepresentation
bin1100010001110101000…
…00101110101000000000
31111022222010112222220201
412020322200232220000
523403011420444440
6521451325414544
742323534453101
oct6107240565000
91438863488821
10421888453120
11152a16040182
126992170a454
1330a26335b54
14165c31c83a8
15ae9334119a
hex623a82ea00

421888453120 has 160 divisors (see below), whose sum is σ = 1021657038336. Its totient is φ = 167075020800.

The previous prime is 421888453081. The next prime is 421888453139. The reversal of 421888453120 is 21354888124.

It is a tau number, because it is divible by the number of its divisors (160).

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, 151158925 + ... + 151161715.

Almost surely, 2421888453120 is an apocalyptic number.

421888453120 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 421888453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510828519168).

421888453120 is an abundant number, since it is smaller than the sum of its proper divisors (599768585216).

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

421888453120 is a wasteful number, since it uses less digits than its factorization.

421888453120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 46.

The spelling of 421888453120 in words is "four hundred twenty-one billion, eight hundred eighty-eight million, four hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 137 160 256 274 320 431 512 548 640 685 862 1096 1280 1370 1724 2155 2192 2560 2740 2791 3448 4310 4384 5480 5582 6896 8620 8768 10960 11164 13792 13955 17240 17536 21920 22328 27584 27910 34480 35072 43840 44656 55168 55820 59047 68960 70144 87680 89312 110336 111640 118094 137920 175360 178624 220672 223280 236188 275840 295235 350720 357248 382367 446560 472376 551680 590470 714496 764734 893120 944752 1103360 1180940 1202921 1428992 1529468 1786240 1889504 1911835 2361880 2405842 3058936 3572480 3779008 3823670 4723760 4811684 6014605 6117872 7144960 7558016 7647340 9447520 9623368 12029210 12235744 15116032 15294680 18895040 19246736 24058420 24471488 30232064 30589360 37790080 38493472 48116840 48942976 61178720 75580160 76986944 96233680 97885952 122357440 151160320 153973888 164800177 192467360 195771904 244714880 307947776 329600354 384934720 489429760 615895552 659200708 769869440 824000885 978859520 1318401416 1539738880 1648001770 2636802832 3079477760 3296003540 5273605664 6592007080 10547211328 13184014160 21094422656 26368028320 42188845312 52736056640 84377690624 105472113280 210944226560 421888453120