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140420002211320 = 235135910861421409
BaseRepresentation
bin11111111011011000010100…
…010110011110010111111000
3200102012000120101111112012111
4133323120110112132113320
5121401120131031230240
61214352020344022104
741402003362134016
oct3773302426362770
9612160511445174
10140420002211320
1140818874562aa7
12138ba406761934
13604771b01c030
142696515b8d8b6
1511379a6e3b1ea
hex7fb61459e5f8

140420002211320 has 128 divisors (see below), whose sum is σ = 346048069752000. Its totient is φ = 50963802439680.

The previous prime is 140420002211303. The next prime is 140420002211353. The reversal of 140420002211320 is 23112200024041.

It is a super-2 number, since 2×1404200022113202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140420002211291 and 140420002211300.

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, 333004776 + ... + 333426184.

Almost surely, 2140420002211320 is an apocalyptic number.

140420002211320 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 140420002211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173024034876000).

140420002211320 is an abundant number, since it is smaller than the sum of its proper divisors (205628067540680).

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

140420002211320 is a wasteful number, since it uses less digits than its factorization.

140420002211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432353 (or 432349 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 140420002211320 its reverse (23112200024041), we get a palindrome (163532202235361).

The spelling of 140420002211320 in words is "one hundred forty trillion, four hundred twenty billion, two million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 59 65 104 118 130 236 260 295 472 520 590 767 1180 1534 2360 3068 3835 6136 7670 10861 15340 21722 30680 43444 54305 86888 108610 141193 217220 282386 421409 434440 564772 640799 705965 842818 1129544 1281598 1411930 1685636 2107045 2563196 2823860 3203995 3371272 4214090 5126392 5478317 5647720 6407990 8330387 8428180 10956634 12815980 16660774 16856360 21913268 24863131 25631960 27391585 33321548 41651935 43826536 49726262 54783170 66643096 83303870 99452524 109566340 124315655 166607740 198905048 219132680 248631310 323220703 333215480 497262620 646441406 994525240 1292882812 1616103515 2585765624 3232207030 4576923149 6464414060 9153846298 12928828120 18307692596 22884615745 36615385192 45769231490 59500000937 91538462980 119000001874 183076925960 238000003748 270038465791 297500004685 476000007496 540076931582 595000009370 1080153863164 1190000018740 1350192328955 2160307726328 2380000037480 2700384657910 3510500055283 5400769315820 7021000110566 10801538631640 14042000221132 17552500276415 28084000442264 35105000552830 70210001105660 140420002211320