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31411440331312 = 24193126930740361
BaseRepresentation
bin1110010010001100010111…
…01111100010101000110000
311010012220102021200121012111
413021012023233202220300
513104121112211100222
6150450114431535104
76421254526301656
oct711061357425060
9133186367617174
1031411440331312
11a010576199608
1236338b798a494
13146b117263622
147a8471128dd6
1539713c4a6777
hex1c918bbe2a30

31411440331312 has 160 divisors (see below), whose sum is σ = 66593037772800. Its totient is φ = 14298521241600.

The previous prime is 31411440331241. The next prime is 31411440331319. The reversal of 31411440331312 is 21313304411413.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (31411440331319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778242012 + ... + 778282372.

It is an arithmetic number, because the mean of its divisors is an integer number (416206486080).

Almost surely, 231411440331312 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 31411440331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33296518886400).

31411440331312 is an abundant number, since it is smaller than the sum of its proper divisors (35181597441488).

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

31411440331312 is a wasteful number, since it uses less digits than its factorization.

31411440331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40995 (or 40989 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 31411440331312 its reverse (21313304411413), we get a palindrome (52724744742725).

The spelling of 31411440331312 in words is "thirty-one trillion, four hundred eleven billion, four hundred forty million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 269 304 307 496 538 589 614 1076 1178 1228 2152 2356 2456 4304 4712 4912 5111 5833 8339 9424 9517 10222 11666 16678 19034 20444 23332 33356 38068 40361 40888 46664 66712 76136 80722 81776 82583 93328 133424 152272 158441 161444 165166 180823 316882 322888 330332 361646 633764 645776 660664 723292 766859 1251191 1267528 1321328 1446584 1533718 1569077 2502382 2535056 2560073 2893168 3067436 3138154 5004764 5120146 6134872 6276308 10009528 10240292 10857109 12269744 12390827 12552616 20019056 20480584 21714218 23772629 24781654 25105232 40961168 43428436 47545258 48641387 49563308 86856872 95090516 97282774 99126616 173713744 190181032 194565548 198253232 206285071 235425713 336570379 380362064 384115637 389131096 412570142 470851426 673140758 768231274 778262192 825140284 941702852 1346281516 1536462548 1650280568 1883405704 2692563032 3072925096 3300561136 3333132463 3766811408 5385126064 6145850192 6394837201 6666264926 7298197103 12789674402 13332529852 14596394206 25579348804 26665059704 29192788412 51158697608 53330119408 58385576824 63329516797 102317395216 103327106353 116771153648 126659033594 206654212706 253318067188 413308425412 506636134376 826616850824 1013272268752 1653233701648 1963215020707 3926430041414 7852860082828 15705720165656 31411440331312