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4061142337120 = 255113174434427
BaseRepresentation
bin111011000110001110111…
…100100100011001100000
3112101020111222210020121121
4323012032330210121200
51013014204414241440
612345355114302024
7566256615204541
oct73061674443140
915336458706547
104061142337120
111326358a804a0
125570b0427914
13235c6c10ab3b
141007bb7d24c8
157098db5834a
hex3b18ef24660

4061142337120 has 96 divisors (see below), whose sum is σ = 10804306093056. Its totient is φ = 1429140979200.

The previous prime is 4061142337099. The next prime is 4061142337123. The reversal of 4061142337120 is 217332411604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4061142337123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37162654 + ... + 37271773.

It is an arithmetic number, because the mean of its divisors is an integer number (112544855136).

Almost surely, 24061142337120 is an apocalyptic number.

4061142337120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4061142337120 is an abundant number, since it is smaller than the sum of its proper divisors (6743163755936).

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

4061142337120 is a wasteful number, since it uses less digits than its factorization.

4061142337120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74434484 (or 74434476 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

Adding to 4061142337120 its reverse (217332411604), we get a palindrome (4278474748724).

The spelling of 4061142337120 in words is "four trillion, sixty-one billion, one hundred forty-two million, three hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 440 496 620 682 880 992 1240 1364 1705 1760 2480 2728 3410 4960 5456 6820 10912 13640 27280 54560 74434427 148868854 297737708 372172135 595475416 744344270 818778697 1190950832 1488688540 1637557394 2307467237 2381901664 2977377080 3275114788 4093893485 4614934474 5954754160 6550229576 8187786970 9229868948 11537336185 11909508320 13100459152 16375573940 18459737896 23074672370 25382139607 26200918304 32751147880 36919475792 46149344740 50764279214 65502295760 73838951584 92298689480 101528558428 126910698035 131004591520 184597378960 203057116856 253821396070 369194757920 406114233712 507642792140 812228467424 1015285584280 2030571168560 4061142337120