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142440163514664 = 233311039909120269
BaseRepresentation
bin100000011000110001101111…
…010110010001100100101000
3200200100010221220101201000020
4200120301233112101210220
5122132214423324432124
61222540035135440440
742000651015654111
oct4030615726214450
9620303856351006
10142440163514664
1141427596995454
1213b85a36686120
1361630854b6aa2
1427261d8113208
1511702dede8379
hex818c6f591928

142440163514664 has 128 divisors (see below), whose sum is σ = 367999936512000. Its totient is φ = 45896902214400.

The previous prime is 142440163514581. The next prime is 142440163514687. The reversal of 142440163514664 is 466415361044241.

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, 7027478322 + ... + 7027498590.

It is an arithmetic number, because the mean of its divisors is an integer number (2874999504000).

Almost surely, 2142440163514664 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 142440163514664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183999968256000).

142440163514664 is an abundant number, since it is smaller than the sum of its proper divisors (225559772997336).

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

142440163514664 is a wasteful number, since it uses less digits than its factorization.

142440163514664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30439 (or 30435 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 142440163514664 in words is "one hundred forty-two trillion, four hundred forty billion, one hundred sixty-three million, five hundred fourteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1039 2078 3117 4156 6234 8312 9091 12468 18182 20269 24936 27273 32209 36364 40538 54546 60807 64418 72728 81076 96627 109092 121614 128836 162152 193254 218184 243228 257672 281821 386508 486456 563642 628339 773016 845463 1127284 1256678 1690926 1885017 2254568 2513356 3381852 3770034 5026712 6763704 7540068 9445549 15080136 18891098 21059491 28336647 37782196 42118982 56673294 63178473 75564392 84237964 113346588 126356946 168475928 184265479 226693176 252713892 292812019 368530958 505427784 552796437 585624038 652844221 737061916 878436057 1105592874 1171248076 1305688442 1474123832 1756872114 1958532663 2211185748 2342496152 2611376884 3513744228 3917065326 4422371496 5222753768 5712229849 7027488456 7834130652 11424459698 15668261304 17136689547 22848919396 34273379094 45697838792 68546758188 137093516376 191451832681 382903665362 574355498043 765807330724 1148710996086 1531614661448 2297421992172 4594843984344 5935006813111 11870013626222 17805020439333 23740027252444 35610040878666 47480054504888 71220081757332 142440163514664