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4202140434114 = 2371967131599959
BaseRepresentation
bin111101001001100011000…
…101100111111011000010
3112212201110101120201001010
4331021203011213323002
51022321440422342424
612534234153021350
7612410646230610
oct75114305477302
915781411521033
104202140434114
1113801327a8687
1257a4a03b4856
1324634c6c1a6c
141075557d46b0
15744922d2229
hex3d263167ec2

4202140434114 has 128 divisors (see below), whose sum is σ = 10339662643200. Its totient is φ = 1111890162240.

The previous prime is 4202140434109. The next prime is 4202140434307. The reversal of 4202140434114 is 4114340412024.

It is a happy 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, 6704067 + ... + 7304025.

It is an arithmetic number, because the mean of its divisors is an integer number (80778614400).

Almost surely, 24202140434114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4202140434114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169831321600).

4202140434114 is an abundant number, since it is smaller than the sum of its proper divisors (6137522209086).

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

4202140434114 is a wasteful number, since it uses less digits than its factorization.

4202140434114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600188.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 4202140434114 its reverse (4114340412024), we get a palindrome (8316480846138).

The spelling of 4202140434114 in words is "four trillion, two hundred two billion, one hundred forty million, four hundred thirty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 67 114 131 133 134 201 262 266 393 399 402 469 786 798 917 938 1273 1407 1834 2489 2546 2751 2814 3819 4978 5502 7467 7638 8777 8911 14934 17423 17554 17822 26331 26733 34846 52269 52662 53466 61439 104538 122878 166763 184317 333526 368634 500289 599959 1000578 1167341 1199918 1799877 2334682 3502023 3599754 4199713 7004046 8399426 11399221 12599139 22798442 25198278 34197663 40197253 68395326 78594629 79794547 80394506 120591759 157189258 159589094 235783887 239383641 241183518 281380771 471567774 478767282 550162403 562761542 763747807 844142313 1100324806 1493297951 1527495614 1650487209 1688284626 2291243421 2986595902 3300974418 4479893853 4582486842 5265840143 5346234649 8959787706 10453085657 10531680286 10692469298 15797520429 16038703947 20906171314 31359256971 31595040858 32077407894 36860881001 62718513942 73721762002 100050962717 110582643003 200101925434 221165286006 300152888151 600305776302 700356739019 1400713478038 2101070217057 4202140434114