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140033130322240 = 2653891151977363
BaseRepresentation
bin11111110101110000000000…
…111111010101100101000000
3200100211000222121210021211001
4133311300000333111211000
5121323300322330302430
61213454155412501344
741332026340262611
oct3765600077254500
9610730877707731
10140033130322240
1140689798457751
121385743801a854
13601a0b548937c
1426818d5383c08
15112c8b2d4d3ca
hex7f5c00fd5940

140033130322240 has 112 divisors (see below), whose sum is σ = 334601894615040. Its totient is φ = 55820662323200.

The previous prime is 140033130322207. The next prime is 140033130322249. The reversal of 140033130322240 is 42223031330041.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 140033130322199 and 140033130322208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140033130322249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142787799 + ... + 143765161.

Almost surely, 2140033130322240 is an apocalyptic number.

140033130322240 is a gapful number since it is divisible by the number (10) 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 140033130322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167300947307520).

140033130322240 is an abundant number, since it is smaller than the sum of its proper divisors (194568764292800).

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

140033130322240 is a wasteful number, since it uses less digits than its factorization.

140033130322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978920 (or 978910 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 140033130322240 its reverse (42223031330041), we get a palindrome (182256161652281).

The spelling of 140033130322240 in words is "one hundred forty trillion, thirty-three billion, one hundred thirty million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 389 778 1151 1556 1945 2302 3112 3890 4604 5755 6224 7780 9208 11510 12448 15560 18416 23020 24896 31120 36832 46040 62240 73664 92080 124480 184160 368320 447739 895478 977363 1790956 1954726 2238695 3581912 3909452 4477390 4886815 7163824 7818904 8954780 9773630 14327648 15637808 17909560 19547260 28655296 31275616 35819120 39094520 62551232 71638240 78189040 143276480 156378080 312756160 380194207 760388414 1124944813 1520776828 1900971035 2249889626 3041553656 3801942070 4499779252 5624724065 6083107312 7603884140 8999558504 11249448130 12166214624 15207768280 17999117008 22498896260 24332429248 30415536560 35998234016 44997792520 60831073120 71996468032 89995585040 121662146240 179991170080 359982340160 437603532257 875207064514 1750414129028 2188017661285 3500828258056 4376035322570 7001656516112 8752070645140 14003313032224 17504141290280 28006626064448 35008282580560 70016565161120 140033130322240