Search a number
-
+
14021333210040 = 23351335325461853
BaseRepresentation
bin1100110000001001100010…
…0101011101001110111000
31211122102111211010022100220
43030002120211131032320
53314211142300210130
645453151143500040
72645002464553152
oct314023045351670
954572454108326
1014021333210040
114516461075092
1216a5518157620
137a928a8c3960
143668c983bad2
15194ad8c19410
hexcc09895d3b8

14021333210040 has 128 divisors (see below), whose sum is σ = 45428021432640. Its totient is φ = 3441627611136.

The previous prime is 14021333210033. The next prime is 14021333210047. The reversal of 14021333210040 is 4001233312041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14021333210033) and next prime (14021333210047).

It is a super-2 number, since 2×140213332100402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14021333210047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12180247 + ... + 13281606.

Almost surely, 214021333210040 is an apocalyptic number.

14021333210040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14021333210040 is an abundant number, since it is smaller than the sum of its proper divisors (31406688222600).

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

14021333210040 is a wasteful number, since it uses less digits than its factorization.

14021333210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25462233 (or 25462229 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14021333210040 its reverse (4001233312041), we get a palindrome (18022566522081).

The spelling of 14021333210040 in words is "fourteen trillion, twenty-one billion, three hundred thirty-three million, two hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 353 390 520 706 780 1059 1412 1560 1765 2118 2824 3530 4236 4589 5295 7060 8472 9178 10590 13767 14120 18356 21180 22945 27534 36712 42360 45890 55068 68835 91780 110136 137670 183560 275340 550680 25461853 50923706 76385559 101847412 127309265 152771118 203694824 254618530 305542236 331004089 381927795 509237060 611084472 662008178 763855590 993012267 1018474120 1324016356 1527711180 1655020445 1986024534 2648032712 3055422360 3310040890 3972049068 4965061335 6620081780 7944098136 8988034109 9930122670 13240163560 17976068218 19860245340 26964102327 35952136436 39720490680 44940170545 53928204654 71904272872 89880341090 107856409308 116844443417 134820511635 179760682180 215712818616 233688886834 269641023270 350533330251 359521364360 467377773668 539282046540 584222217085 701066660502 934755547336 1078564093080 1168444434170 1402133321004 1752666651255 2336888868340 2804266642008 3505333302510 4673777736680 7010666605020 14021333210040