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1406150120144 = 247111577269781
BaseRepresentation
bin10100011101100101000…
…101000001001011010000
311222102112000112021021102
4110131211011001023100
5141014243412321034
62553550525043532
7203406465545330
oct24354505011320
94872460467242
101406150120144
114a23880a2610
121a86309b65a8
13a27a3b14413
144c0b53350c0
152689d04c97e
hex147651412d0

1406150120144 has 80 divisors (see below), whose sum is σ = 3418309654656. Its totient is φ = 544361126400.

The previous prime is 1406150120143. The next prime is 1406150120147. The reversal of 1406150120144 is 4410210516041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406150120143) 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, 3441467 + ... + 3828314.

Almost surely, 21406150120144 is an apocalyptic number.

1406150120144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1406150120144 is an abundant number, since it is smaller than the sum of its proper divisors (2012159534512).

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

1406150120144 is a wasteful number, since it uses less digits than its factorization.

1406150120144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7269964 (or 7269958 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 1406150120144 its reverse (4410210516041), we get a palindrome (5816360636185).

The spelling of 1406150120144 in words is "one trillion, four hundred six billion, one hundred fifty million, one hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 157 176 308 314 616 628 1099 1232 1256 1727 2198 2512 3454 4396 6908 8792 12089 13816 17584 24178 27632 48356 96712 193424 7269781 14539562 29079124 50888467 58158248 79967591 101776934 116316496 159935182 203553868 319870364 407107736 559773137 639740728 814215472 1119546274 1141355617 1279481456 2239092548 2282711234 4478185096 4565422468 7989489319 8956370192 9130844936 12554911787 15978978638 18261689872 25109823574 31957957276 50219647148 63915914552 87884382509 100439294296 127831829104 175768765018 200878588592 351537530036 703075060072 1406150120144