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4330010020014 = 2337231171942499
BaseRepresentation
bin111111000000101000101…
…101011000100010101110
3120022221111211202200221000
4333000220231120202232
51031420330031120024
613113102410021130
7624555453616260
oct77005055304256
916287454680830
104330010020014
11141a38a8560a8
1259b2277177a6
1325541a0ba123
1410d805d77b30
15779780c1cc9
hex3f028b588ae

4330010020014 has 128 divisors (see below), whose sum is σ = 11476224000000. Its totient is φ = 1183227956064.

The previous prime is 4330010019977. The next prime is 4330010020019. The reversal of 4330010020014 is 4100200100334.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4330010020019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101863737 + ... + 101906235.

It is an arithmetic number, because the mean of its divisors is an integer number (89658000000).

Almost surely, 24330010020014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4330010020014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5738112000000).

4330010020014 is an abundant number, since it is smaller than the sum of its proper divisors (7146213979986).

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

4330010020014 is a wasteful number, since it uses less digits than its factorization.

4330010020014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54259 (or 54253 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 4330010020014 its reverse (4100200100334), we get a palindrome (8430210120348).

The spelling of 4330010020014 in words is "four trillion, three hundred thirty billion, ten million, twenty thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 2898 4347 8694 11719 23438 35157 42499 70314 82033 84998 105471 127497 164066 210942 246099 254994 269537 297493 316413 382491 492198 539074 594986 632826 738297 764982 808611 892479 977477 1147473 1476594 1617222 1784958 1886759 1954954 2214891 2294946 2425833 2677437 2932431 3773518 4429782 4851666 5354874 5660277 5864862 6842339 7277499 8032311 8797293 11320554 13684678 14554998 16064622 16980831 17594586 20527017 26391879 33961662 41054034 50942493 52783758 61581051 101884986 123162102 184743153 369486306 498045781 996091562 1494137343 2988274686 3486320467 4482412029 6972640934 8964824058 10458961401 11455052963 13447236087 20917922802 22910105926 26894472174 31376884203 34365158889 62753768406 68730317778 80185370741 94130652609 103095476667 160370741482 188261305218 206190953334 240556112223 309286430001 481112224446 618572860002 721668336669 1443336673338 2165005010007 4330010020014