Search a number
-
+
4156137700 = 22521113509571
BaseRepresentation
bin1111011110111001…
…1010000011100100
3101201122111200002221
43313232122003210
532002432401300
61524224242124
7204664405351
oct36756320344
911648450087
104156137700
111843038850
1297ba70344
1351308c1a0
142b5d99628
15194d1831a
hexf7b9a0e4

4156137700 has 144 divisors (see below), whose sum is σ = 10634944320. Its totient is φ = 1389888000.

The previous prime is 4156137683. The next prime is 4156137701. The reversal of 4156137700 is 77316514.

It is a super-2 number, since 2×41561377002 = 34546961162722580000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4156137701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7278415 + ... + 7278985.

It is an arithmetic number, because the mean of its divisors is an integer number (73853780).

Almost surely, 24156137700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4156137700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5317472160).

4156137700 is an abundant number, since it is smaller than the sum of its proper divisors (6478806620).

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

4156137700 is a wasteful number, since it uses less digits than its factorization.

4156137700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 4156137700 is about 64468.1138238122. The cubic root of 4156137700 is about 1607.7924169755.

The spelling of 4156137700 in words is "four billion, one hundred fifty-six million, one hundred thirty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 509 550 571 572 650 715 1018 1100 1142 1300 1430 2036 2284 2545 2855 2860 3575 5090 5599 5710 6281 6617 7150 7423 10180 11198 11420 12562 12725 13234 14275 14300 14846 22396 25124 25450 26468 27995 28550 29692 31405 33085 37115 50900 55990 57100 62810 66170 72787 74230 81653 111980 125620 132340 139975 145574 148460 157025 163306 165425 185575 279950 290639 291148 314050 326612 330850 363935 371150 408265 559900 581278 628100 661700 727870 742300 816530 1162556 1453195 1455740 1633060 1819675 2041325 2906390 3197029 3639350 3778307 4082650 5812780 6394058 7265975 7278700 7556614 8165300 12788116 14531950 15113228 15985145 18891535 29063900 31970290 37783070 41561377 63940580 75566140 79925725 83122754 94457675 159851450 166245508 188915350 207806885 319702900 377830700 415613770 831227540 1039034425 2078068850 4156137700