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212141144040 = 23357892837629
BaseRepresentation
bin1100010110010010011…
…0001111011111101000
3202021120110222201001220
43011210212033133220
511433431113102130
6241242320542040
721220024654260
oct3054446173750
9667513881056
10212141144040
1181a72166441
1235145781920
131700a7a1987
14a3a67607a0
1557b92c5410
hex316498f7e8

212141144040 has 128 divisors (see below), whose sum is σ = 735513696000. Its totient is φ = 47944562688.

The previous prime is 212141143987. The next prime is 212141144051. The reversal of 212141144040 is 40441141212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212141144040.

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, 1344055 + ... + 1493574.

It is an arithmetic number, because the mean of its divisors is an integer number (5746200750).

Almost surely, 2212141144040 is an apocalyptic number.

212141144040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212141144040 is an abundant number, since it is smaller than the sum of its proper divisors (523372551960).

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

212141144040 is a wasteful number, since it uses less digits than its factorization.

212141144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837739 (or 2837735 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 212141144040 its reverse (40441141212), we get a palindrome (252582285252).

The spelling of 212141144040 in words is "two hundred twelve billion, one hundred forty-one million, one hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 89 105 120 140 168 178 210 267 280 356 420 445 534 623 712 840 890 1068 1246 1335 1780 1869 2136 2492 2670 3115 3560 3738 4984 5340 6230 7476 9345 10680 12460 14952 18690 24920 37380 74760 2837629 5675258 8512887 11350516 14188145 17025774 19863403 22701032 28376290 34051548 39726806 42564435 56752580 59590209 68103096 79453612 85128870 99317015 113505160 119180418 158907224 170257740 198634030 238360836 252548981 297951045 340515480 397268060 476721672 505097962 595902090 757646943 794536120 1010195924 1191804180 1262744905 1515293886 1767842867 2020391848 2383608360 2525489810 3030587772 3535685734 3788234715 5050979620 5303528601 6061175544 7071371468 7576469430 8839214335 10101959240 10607057202 14142742936 15152938860 17678428670 21214114404 26517643005 30305877720 35356857340 42428228808 53035286010 70713714680 106070572020 212141144040