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212314021440400 = 245211150833199177
BaseRepresentation
bin110000010001100100110101…
…110101000010101110010000
31000211202000121012110011101101
4300101210311311002232100
5210312023103442043100
62031315414232514144
762502116242456525
oct6021446565025620
91024660535404341
10212314021440400
11617169640a7120
121b98ba6824b954
139161184685159
143a600a69dd14c
151982b955d986a
hexc11935d42b90

212314021440400 has 120 divisors (see below), whose sum is σ = 556492815778464. Its totient is φ = 77199955891200.

The previous prime is 212314021440379. The next prime is 212314021440413. The reversal of 212314021440400 is 4044120413212.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64765612 + ... + 67964788.

Almost surely, 2212314021440400 is an apocalyptic number.

212314021440400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212314021440400 is an abundant number, since it is smaller than the sum of its proper divisors (344178794338064).

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

212314021440400 is a wasteful number, since it uses less digits than its factorization.

212314021440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214289 (or 3214278 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 212314021440400 its reverse (4044120413212), we get a palindrome (216358141853612).

The spelling of 212314021440400 in words is "two hundred twelve trillion, three hundred fourteen billion, twenty-one million, four hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 15083 30166 60332 75415 120664 150830 165913 241328 301660 331826 377075 603320 663652 754150 829565 1206640 1327304 1508300 1659130 2654608 3016600 3199177 3318260 4147825 6033200 6398354 6636520 8295650 12796708 13273040 15995885 16591300 25593416 31991770 33182600 35190947 51186832 63983540 66365200 70381894 79979425 127967080 140763788 159958850 175954735 255934160 281527576 319917700 351909470 563055152 639835400 703818940 879773675 1279670800 1407637880 1759547350 2815275760 3519094700 7038189400 14076378800 48253186691 96506373382 193012746764 241265933455 386025493528 482531866910 530785053601 772050987056 965063733820 1061570107202 1206329667275 1930127467640 2123140214404 2412659334550 2653925268005 3860254935280 4246280428808 4825318669100 5307850536010 8492560857616 9650637338200 10615701072020 13269626340025 19301274676400 21231402144040 26539252680050 42462804288080 53078505360100 106157010720200 212314021440400