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144034314004420 = 225782911833104879
BaseRepresentation
bin100000101111111110011010…
…000111110010011111000100
3200212222112201222210021102221
4200233332122013302133010
5122334324233341120140
61230200241141142124
742224064400362340
oct4057763207623704
9625875658707387
10144034314004420
114199167831a254
12141a29943ba944
13624a4ba584b58
14277d4259a6620
15119b9e2bbe14a
hex82ff9a1f27c4

144034314004420 has 96 divisors (see below), whose sum is σ = 346131889689600. Its totient is φ = 49318985217024.

The previous prime is 144034314004319. The next prime is 144034314004433. The reversal of 144034314004420 is 24400413430441.

It is a super-2 number, since 2×1440343140044202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1373285541 + ... + 1373390419.

It is an arithmetic number, because the mean of its divisors is an integer number (3605540517600).

Almost surely, 2144034314004420 is an apocalyptic number.

144034314004420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144034314004420 is an abundant number, since it is smaller than the sum of its proper divisors (202097575685180).

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

144034314004420 is a wasteful number, since it uses less digits than its factorization.

144034314004420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117557 (or 117555 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 144034314004420 its reverse (24400413430441), we get a palindrome (168434727434861).

The spelling of 144034314004420 in words is "one hundred forty-four trillion, thirty-four billion, three hundred fourteen million, four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 829 1658 3316 4145 5803 8290 11606 11833 16580 23212 23666 29015 47332 58030 59165 82831 104879 116060 118330 165662 209758 236660 331324 414155 419516 524395 734153 828310 1048790 1468306 1656620 2097580 2936612 3670765 7341530 9809557 14683060 19619114 39238228 49047785 68666899 86944691 98095570 137333798 173889382 196191140 274667596 343334495 347778764 434723455 608612837 686668990 869446910 1217225674 1241033207 1373337980 1738893820 2434451348 2482066414 3043064185 4964132828 6086128370 6205166035 8687232449 12172256740 12410332070 17374464898 24820664140 34748929796 43436162245 86872324490 173744648980 1028816528603 2057633057206 4115266114412 5144082643015 7201715700221 10288165286030 14403431400442 20576330572060 28806862800884 36008578501105 72017157002210 144034314004420