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40311140240 = 2457198942569
BaseRepresentation
bin100101100010101110…
…110010111110010000
310212001100112002200002
4211202232302332100
51130024122441430
630304011345132
72624643016130
oct454256627620
9125040462602
1040311140240
1116106651338
1279901521a8
133a55680c07
141d45a40ac0
1510ade96845
hex962bb2f90

40311140240 has 160 divisors (see below), whose sum is σ = 114019488000. Its totient is φ = 12946120704.

The previous prime is 40311140239. The next prime is 40311140257. The reversal of 40311140240 is 4204111304.

40311140240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 925676 + ... + 968244.

It is an arithmetic number, because the mean of its divisors is an integer number (712621800).

Almost surely, 240311140240 is an apocalyptic number.

40311140240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40311140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57009744000).

40311140240 is an abundant number, since it is smaller than the sum of its proper divisors (73708347760).

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

40311140240 is a wasteful number, since it uses less digits than its factorization.

40311140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42697 (or 42691 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 40311140240 its reverse (4204111304), we get a palindrome (44515251544).

The spelling of 40311140240 in words is "forty billion, three hundred eleven million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 89 95 112 133 140 152 178 190 266 280 304 356 380 445 532 560 623 665 712 760 890 1064 1246 1330 1424 1520 1691 1780 2128 2492 2660 3115 3382 3560 4984 5320 6230 6764 7120 8455 9968 10640 11837 12460 13528 16910 23674 24920 27056 33820 42569 47348 49840 59185 67640 85138 94696 118370 135280 170276 189392 212845 236740 297983 340552 425690 473480 595966 681104 808811 851380 946960 1191932 1489915 1617622 1702760 2383864 2979830 3235244 3405520 3788641 4044055 4767728 5661677 5959660 6470488 7577282 8088110 11323354 11919320 12940976 15154564 16176220 18943205 22646708 23838640 26520487 28308385 30309128 32352440 37886410 45293416 53040974 56616770 60618256 64704880 71984179 75772820 90586832 106081948 113233540 132602435 143968358 151545640 212163896 226467080 265204870 287936716 303091280 359920895 424327792 452934160 503889253 530409740 575873432 719841790 1007778506 1060819480 1151746864 1439683580 2015557012 2121638960 2519446265 2879367160 4031114024 5038892530 5758734320 8062228048 10077785060 20155570120 40311140240