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2014001666430 = 2351318150956053
BaseRepresentation
bin11101010011101011110…
…110101001100101111110
321010112111020110012110020
4131103223312221211332
5230444133411311210
64141115233153010
7265335560464005
oct35235366514576
97115436405406
102014001666430
11707151488036
122863b10bb766
13117bc53078b0
146d69a27bc3c
15375c733e770
hex1d4ebda997e

2014001666430 has 128 divisors (see below), whose sum is σ = 5244555738240. Its totient is φ = 492037908480.

The previous prime is 2014001666381. The next prime is 2014001666449. The reversal of 2014001666430 is 346661004102.

It is a junction number, because it is equal to n+sod(n) for n = 2014001666391 and 2014001666400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35902284 + ... + 35958336.

It is an arithmetic number, because the mean of its divisors is an integer number (40973091705).

Almost surely, 22014001666430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014001666430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622277869120).

2014001666430 is an abundant number, since it is smaller than the sum of its proper divisors (3230554071810).

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

2014001666430 is a wasteful number, since it uses less digits than its factorization.

2014001666430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56766.

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 2014001666430 in words is "two trillion, fourteen billion, one million, six hundred sixty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 181 195 362 390 509 543 905 1018 1086 1527 1810 2353 2545 2715 3054 4706 5090 5430 6617 7059 7635 11765 13234 14118 15270 19851 23530 33085 35295 39702 56053 66170 70590 92129 99255 112106 168159 184258 198510 276387 280265 336318 460645 552774 560530 728689 840795 921290 1197677 1381935 1457378 1681590 2186067 2395354 2763870 3593031 3643445 4372134 5988385 7186062 7286890 10145593 10930335 11976770 17965155 20291186 21860670 28530977 30436779 35930310 50727965 57061954 60873558 85592931 101455930 131892709 142654885 152183895 171185862 263785418 285309770 304367790 370902701 395678127 427964655 659463545 741805402 791356254 855929310 1112708103 1318927090 1854513505 1978390635 2225416206 3709027010 3956781270 5164106837 5563540515 10328213674 11127081030 15492320511 25820534185 30984641022 51641068370 67133388881 77461602555 134266777762 154923205110 201400166643 335666944405 402800333286 671333888810 1007000833215 2014001666430