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3101412545440 = 255112359446231
BaseRepresentation
bin101101001000011010100…
…101111101001110100000
3101222111021202212100202121
4231020122211331032200
5401303143102423230
610332434054154024
7440032615445626
oct55103245751640
911874252770677
103101412545440
11a9633558a100
124210a8952914
13196600b91441
14aa1757b3516
1555a1c9a077a
hex2d21a97d3a0

3101412545440 has 144 divisors (see below), whose sum is σ = 8076192324480. Its totient is φ = 1124642393600.

The previous prime is 3101412545383. The next prime is 3101412545447. The reversal of 3101412545440 is 445452141013.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3101412545396 and 3101412545405.

It is not an unprimeable number, because it can be changed into a prime (3101412545447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6727125 + ... + 7173355.

It is an arithmetic number, because the mean of its divisors is an integer number (56084668920).

Almost surely, 23101412545440 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 3101412545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038096162240).

3101412545440 is an abundant number, since it is smaller than the sum of its proper divisors (4974779779040).

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

3101412545440 is a wasteful number, since it uses less digits than its factorization.

3101412545440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446627 (or 446608 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 3101412545440 its reverse (445452141013), we get a palindrome (3546864686453).

The spelling of 3101412545440 in words is "three trillion, one hundred one billion, four hundred twelve million, five hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 359 440 484 605 718 880 968 1210 1436 1760 1795 1936 2420 2872 3590 3872 3949 4840 5744 7180 7898 9680 11488 14360 15796 19360 19745 28720 31592 39490 43439 57440 63184 78980 86878 126368 157960 173756 217195 315920 347512 434390 446231 631840 695024 868780 892462 1390048 1737560 1784924 2231155 3475120 3569848 4462310 4908541 6950240 7139696 8924620 9817082 14279392 17849240 19634164 24542705 35698480 39268328 49085410 53993951 71396960 78536656 98170820 107987902 157073312 160196929 196341640 215975804 269969755 320393858 392683280 431951608 539939510 640787716 785366560 800984645 863903216 1079879020 1281575432 1601969290 1727806432 1762166219 2159758040 2563150864 3203938580 3524332438 4319516080 5126301728 6407877160 7048664876 8639032160 8810831095 12815754320 14097329752 17621662190 19383828409 25631508640 28194659504 35243324380 38767656818 56389319008 70486648760 77535313636 96919142045 140973297520 155070627272 193838284090 281946595040 310141254544 387676568180 620282509088 775353136360 1550706272720 3101412545440