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140212736820 = 223251359919973
BaseRepresentation
bin1000001010010101010…
…1001001001100110100
3111101220200000000210200
42002211111021030310
54244123430034240
6144225101320500
713062413412162
oct2024525111464
9441820000720
10140212736820
11545114864a2
1223210b66130
13102b6988780
146b019a8232
1539a9744930
hex20a5549334

140212736820 has 72 divisors (see below), whose sum is σ = 458028281256. Its totient is φ = 34513903872.

The previous prime is 140212736777. The next prime is 140212736893. The reversal of 140212736820 is 28637212041.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27570609936 + 112642126884 = 166044^2 + 335622^2 .

It is a super-2 number, since 2×1402127368202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29957647 + ... + 29962326.

Almost surely, 2140212736820 is an apocalyptic number.

140212736820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140212736820 is an abundant number, since it is smaller than the sum of its proper divisors (317815544436).

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

140212736820 is a wasteful number, since it uses less digits than its factorization.

140212736820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59920001 (or 59919996 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 140212736820 its reverse (28637212041), we get a palindrome (168849948861).

The spelling of 140212736820 in words is "one hundred forty billion, two hundred twelve million, seven hundred thirty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 59919973 119839946 179759919 239679892 299599865 359519838 539279757 599199730 719039676 778959649 898799595 1078559514 1198399460 1557919298 1797599190 2157119028 2336878947 2696398785 3115838596 3595198380 3894798245 4673757894 5392797570 7010636841 7789596490 9347515788 10785595140 11684394735 14021273682 15579192980 23368789470 28042547364 35053184205 46737578940 70106368410 140212736820