Search a number
-
+
743214135020464 = 24236150596544427
BaseRepresentation
bin1010100011111100110000011…
…0100000101000101110110000
310121110111120120221020010002101
42220333030012200220232300
51234403310022031123324
611152403505443430144
7312355310051416462
oct25077140640505660
93543446527203071
10743214135020464
111a58a1387737158
126b433a66085354
1325b91a3b630c03
14d175a82916132
155adca8a276944
hex2a3f306828bb0

743214135020464 has 80 divisors (see below), whose sum is σ = 1527519756407040. Its totient is φ = 349554022836480.

The previous prime is 743214135020327. The next prime is 743214135020543. The reversal of 743214135020464 is 464020531412347.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110292219 + ... + 116836645.

It is an arithmetic number, because the mean of its divisors is an integer number (19093996955088).

Almost surely, 2743214135020464 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 743214135020464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763759878203520).

743214135020464 is an abundant number, since it is smaller than the sum of its proper divisors (784305621386576).

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

743214135020464 is a wasteful number, since it uses less digits than its factorization.

743214135020464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6549578 (or 6549572 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 46.

The spelling of 743214135020464 in words is "seven hundred forty-three trillion, two hundred fourteen billion, one hundred thirty-five million, twenty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 23 46 61 92 122 184 244 368 488 976 1403 2806 5059 5612 10118 11224 20236 22448 40472 80944 116357 232714 308599 465428 617198 930856 1234396 1861712 2468792 4937584 6544427 7097777 13088854 14195554 26177708 28391108 52355416 56782216 104710832 113564432 150521821 301043642 399210047 602087284 798420094 1204174568 1596840188 2408349136 3193680376 6387360752 9181831081 18363662162 33108256193 36727324324 66216512386 73454648648 132433024772 146909297296 264866049544 529732099088 761489892439 1522979784878 2019603627773 3045959569756 4039207255546 6091919139512 8078414511092 12183838279024 16156829022184 32313658044368 46450883438779 92901766877558 185803533755116 371607067510232 743214135020464