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31440211000 = 23531123911959
BaseRepresentation
bin11101010001111110…
…111000110000111000
310000011010022012110021
4131101332320300320
51003342143223000
622235440500224
72162055245512
oct352176706070
9100133265407
1031440211000
11123741a7960
12611531a674
132c70882463
141743826bb2
15c402b311a
hex751fb8c38

31440211000 has 128 divisors (see below), whose sum is σ = 80600832000. Its totient is φ = 11384016000.

The previous prime is 31440210979. The next prime is 31440211007. The reversal of 31440211000 is 11204413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31440211007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2623021 + ... + 2634979.

It is an arithmetic number, because the mean of its divisors is an integer number (629694000).

Almost surely, 231440211000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31440211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40300416000).

31440211000 is an abundant number, since it is smaller than the sum of its proper divisors (49160621000).

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

31440211000 is a wasteful number, since it uses less digits than its factorization.

31440211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12230 (or 12216 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 31440211000 its reverse (11204413), we get a palindrome (31451415413).

The spelling of 31440211000 in words is "thirty-one billion, four hundred forty million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 239 250 275 440 478 500 550 956 1000 1100 1195 1375 1912 2200 2390 2629 2750 4780 5258 5500 5975 9560 10516 11000 11950 11959 13145 21032 23900 23918 26290 29875 47800 47836 52580 59750 59795 65725 95672 105160 119500 119590 131450 131549 239000 239180 262900 263098 298975 328625 478360 525800 526196 597950 657250 657745 1052392 1195900 1314500 1315490 1494875 2391800 2629000 2630980 2858201 2989750 3288725 5261960 5716402 5979500 6577450 11432804 11959000 13154900 14291005 16443625 22865608 26309800 28582010 31440211 32887250 57164020 62880422 65774500 71455025 114328040 125760844 131549000 142910050 157201055 251521688 285820100 314402110 357275125 571640200 628804220 714550250 786005275 1257608440 1429100500 1572010550 2858201000 3144021100 3930026375 6288042200 7860052750 15720105500 31440211000