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140315166464 = 2811297323537
BaseRepresentation
bin1000001010101101101…
…1111000011100000000
3111102011210201222212012
42002223123320130000
54244331140311324
6144243200552052
713065066143654
oct2025333703400
9442153658765
10140315166464
11545642873a0
122323b322628
1310301c70125
146b1142ca64
1539b372920e
hex20ab6f8700

140315166464 has 144 divisors (see below), whose sum is σ = 320423735520. Its totient is φ = 60734177280.

The previous prime is 140315166451. The next prime is 140315166469. The reversal of 140315166464 is 464661513041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140315166469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5949704 + ... + 5973240.

It is an arithmetic number, because the mean of its divisors is an integer number (2225164830).

Almost surely, 2140315166464 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 140315166464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160211867760).

140315166464 is an abundant number, since it is smaller than the sum of its proper divisors (180108569056).

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

140315166464 is a wasteful number, since it uses less digits than its factorization.

140315166464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23666 (or 23652 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 140315166464 in words is "one hundred forty billion, three hundred fifteen million, one hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 73 88 116 128 146 176 232 256 292 319 352 464 584 638 704 803 928 1168 1276 1408 1606 1856 2117 2336 2552 2816 3212 3712 4234 4672 5104 6424 7424 8468 9344 10208 12848 16936 18688 20416 23287 23537 25696 33872 40832 46574 47074 51392 67744 81664 93148 94148 102784 135488 186296 188296 205568 258907 270976 372592 376592 517814 541952 682573 745184 753184 1035628 1365146 1490368 1506368 1718201 2071256 2730292 2980736 3012736 3436402 4142512 5460584 5961472 6025472 6872804 7508303 8285024 10921168 13745608 15016606 16570048 18900211 21842336 27491216 30033212 33140096 37800422 43684672 49827829 54982432 60066424 66280192 75600844 87369344 99655658 109964864 120132848 151201688 174738688 199311316 219929728 240265696 302403376 398622632 439859456 480531392 548106119 604806752 797245264 961062784 1096212238 1209613504 1594490528 1922125568 2192424476 2419227008 3188981056 4384848952 4838454016 6377962112 8769697904 12755924224 17539395808 35078791616 70157583232 140315166464