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140023330211040 = 2535929331390861
BaseRepresentation
bin11111110101100110111000…
…110110111000010011100000
3200100210002200122011001120120
4133311212320312320103200
5121323120240013223130
61213445455130240240
741331231440563053
oct3765467066702340
9610702618131516
10140023330211040
114068561955a0a1
1213855561b86080
1360191b30176c3
1426812459b4a9a
15112c4dc7c6910
hex7f59b8db84e0

140023330211040 has 96 divisors (see below), whose sum is σ = 441120967199136. Its totient is φ = 37335535503360.

The previous prime is 140023330211033. The next prime is 140023330211081. The reversal of 140023330211040 is 40112033320041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 140023330211040.

It is a congruent number.

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, 11234791 + ... + 20156070.

It is an arithmetic number, because the mean of its divisors is an integer number (4595010074991).

Almost surely, 2140023330211040 is an apocalyptic number.

140023330211040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140023330211040 is an abundant number, since it is smaller than the sum of its proper divisors (301097636988096).

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

140023330211040 is a wasteful number, since it uses less digits than its factorization.

140023330211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31400172 (or 31400164 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 140023330211040 its reverse (40112033320041), we get a palindrome (180135363531081).

The spelling of 140023330211040 in words is "one hundred forty trillion, twenty-three billion, three hundred thirty million, two hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 9293 18586 27879 37172 46465 55758 74344 92930 111516 139395 148688 185860 223032 278790 297376 371720 446064 557580 743440 892128 1115160 1486880 2230320 4460640 31390861 62781722 94172583 125563444 156954305 188345166 251126888 313908610 376690332 470862915 502253776 627817220 753380664 941725830 1004507552 1255634440 1506761328 1883451660 2511268880 3013522656 3766903320 5022537760 7533806640 15067613280 291715271273 583430542546 875145813819 1166861085092 1458576356365 1750291627638 2333722170184 2917152712730 3500583255276 4375729069095 4667444340368 5834305425460 7001166510552 8751458138190 9334888680736 11668610850920 14002333021104 17502916276380 23337221701840 28004666042208 35005832552760 46674443403680 70011665105520 140023330211040