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4202334013240 = 23511831009114043
BaseRepresentation
bin111101001001101110101…
…000000100011100111000
3112212201221212211112200101
4331021232220010130320
51022322340001410430
612534305310045144
7612415516513336
oct75115650043470
915781855745611
104202334013240
111380221aa5530
1257a5351a97b4
1324638083b61c
141075733c4b56
15744a42bddca
hex3d26ea04738

4202334013240 has 128 divisors (see below), whose sum is σ = 10449532396800. Its totient is φ = 1508200888320.

The previous prime is 4202334013237. The next prime is 4202334013243. The reversal of 4202334013240 is 423104332024.

It is an interprime number because it is at equal distance from previous prime (4202334013237) and next prime (4202334013243).

It is a super-2 number, since 2×42023340132402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4202334013199 and 4202334013208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202334013243) 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, 36791659 + ... + 36905701.

It is an arithmetic number, because the mean of its divisors is an integer number (81636971850).

Almost surely, 24202334013240 is an apocalyptic number.

4202334013240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4202334013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224766198400).

4202334013240 is an abundant number, since it is smaller than the sum of its proper divisors (6247198383560).

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

4202334013240 is a wasteful number, since it uses less digits than its factorization.

4202334013240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115157 (or 115153 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4202334013240 its reverse (423104332024), we get a palindrome (4625438345264).

The spelling of 4202334013240 in words is "four trillion, two hundred two billion, three hundred thirty-four million, thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 110 166 220 332 415 440 664 830 913 1009 1660 1826 2018 3320 3652 4036 4565 5045 7304 8072 9130 10090 11099 18260 20180 22198 36520 40360 44396 55495 83747 88792 110990 114043 167494 221980 228086 334988 418735 443960 456172 570215 669976 837470 912344 921217 1140430 1254473 1674940 1842434 2280860 2508946 3349880 3684868 4561720 4606085 5017892 6272365 7369736 9212170 9465569 10035784 12544730 18424340 18931138 25089460 36848680 37862276 47327845 50178920 75724552 94655690 104121259 115069387 189311380 208242518 230138774 378622760 416485036 460277548 520606295 575346935 832970072 920555096 1041212590 1150693870 1265763257 2082425180 2301387740 2531526514 4164850360 4602775480 5063053028 6328816285 9550759121 10126106056 12657632570 19101518242 25315265140 38203036484 47753795605 50630530280 76406072968 95507591210 105058350331 191015182420 210116700662 382030364840 420233401324 525291751655 840466802648 1050583503310 2101167006620 4202334013240